yusuke1997/dblp-id-title huggingface dataset:
Random mappings with Ewens cycle structure
Self-centered super graph of a graph and center number of a graph
The Signed k-Domination Numbers In Graphs
Forbidden subgraph conditions for Hamilton cycles in implicit claw-heavy graphs
Homogeneous toroidal Latin bitrades
Some properties of graphs with local Ore condition
Dissolved Graphs and Strong Perfect Graph Conjecture
Generalized de Bruijn multigraphs of rank k
Hamiltonian Spectra of Trees
Regular Factors in Connected Regular Graphs
Premature partial latin squares
On Connected m-K 2 -Residual Graphs
A note on the LEL-equienergetic graphs
Notes on Two Properties of the Generalized Sequences {Wn} Relevant to Recurring Decimal
Some lower bounds for constant weight codes
Independent Fixed Connected Geodetic Number of a Graph
A New Characterization of Disk Graphs and its Application
Minimum Distance between Bent and 1-resilient Boolean Functions
A Sufficient Condition for Oriented Graphs to be Hamiltonian
Decomposition of Multigraphs into Isomorphic Graphs with Two Edges
On Uniquely List Colorable Graphs
On strict-double-bound numbers of spiders and ladders
Weakly status injective trees are status unique in trees
The Mobius Function of a Restricted Composition Poset
One class of primitive 2-arc transitive graphs
Halin's Theorem for the Msbius Strip
Groups With Restricted Squaring Properties
On super connectedness and super restricted edge-connectedness of total graphs
Non 3-Choosable Bipartite Graphs and The Fano Plane
The strong chromatic index of graphs with restricted Ore-degrees
Subdirectly Irreducible Squags of Cardinality 3n
Multidecomposition of K n - F into Graph-Pairs of Order 5 where F is a Hamilton Cycle or an (almost) 1-Factor
Nodal domain count and vertex bipartiteness
On Domination and 2-packing Numbers in Intersecting Linear Systems
Signed total k-domination in graphs
Harmonic index of graphs with more than one cut-vertex
Fano Quads in Projective Planes
Finding A Biplanar Imbedding Of C n x C n x C t x P m
On Some Problems of A.K. Agarwal
Antimagic Labelings of Generalized Petersen Graphs That Are Plane
On Maximum Merrifield-Simmons Index of Unicyclic Graphs with Prescribed Pendent Vertices
Weak Exponent of Indecomposability of an Irreducible Boolean Matrix
More results on greedy defining sets
Orthogonal Designs of Kharaghani Type: II
On Higher Dimensional Perfect Factors
Toughness for the existence of k-Hamiltonian [a, b]-factors
Symmetric Colorings Of Regular Polygons
Integer-Magic Spectra of Sun Graphs
Resistance distance and Kirchhoff index of two corona graphs
On the spectral radius of quasi-unicycle graphs
Average degrees of critical graphs
On α-labelling of disconneted graphs
On the distance and distance Laplacian spectral radius of graphs with cut edges
A Genus Inequality Of The Union Graphs
On the Intersection of two m-sets and the Erdos-Ginzburg-Ziv Theorem
Computing Wiener Index of C 12n Fullerenes
On The Generalized Fibonacci Matrix of Order 2^k Sequence {G^(2k)n}
On a new class of combinatorial identities
On the super edge-magic deficiency of a star forest
Strongly Regular Graphs Admitting an Automorphism Group with Two Orbits
List vertex arboricity of graphs without forbidden minors
An Equation Involving the Neighborhood (Two-Step) and Line Graphs
Bordered magic squares: Elements for a comprehensive approach
Sp-Sets with Multiplier p
Metric-Locating-Dominating Sets in Graphs
Distance in the non-commuting graph of groups
Pairs of graphs having n-2 cards in common
Distance-Dominating Cycles in P3-Dominated Graphs
Noncrossing matchings with fixed points
Bounds of the Sum-connectivity Energy of Graphs
Construction for Trees without vertices contained in all minimum dominating sets
Combinatorial Proofs of a Type of Binomial Identity
On a Conjecture Concerning the Friendly Index Sets of Trees
Multicompetition numbers of some multigraphs
Minimum degree and nowhere-zero 3-flows
Permutations avoiding a pattern from Sk and at least two patterns from S3
Construction of super edge-connected multigraphs with prescribed degrees
Signed cycle domination numbers of digraphs
Independent Cycles in a Bipartite Graph
Upper Domination Number and Domination Number in a Tree
Some Identities On The Generalized Higher-Order Euler And Bernouli Numbers
Characterizations of arboricity of graphs
Metamorphosis problems for graph designs
A Note On q-Bernoulli Numbers And q-Bernstein Polynomials
Bivariate Gaussian Fibonacci And Lucas Polynomials
Classification of Optimal Linear Z4 Rate 1/2 Codes of Length <= 8
On the Number of Dependent Sets in a Connected Graph
A note on the Alon-Saks-Seymour coloring conjecture
Nested BIBDs from affine planes
A note on the generalized Bernoulli sequences
On k-distance Pell numbers and ((k-1)A, (k-1)B, kC)-edge coloured graphs
Essential Norm Of An Operator From The Weighted Hilbert-Bergman Space To The Bloch-Type Space
On The Hamiltonian Decomposition of Special Product of Graphs
The fifth jump of the point-distinguishing chromatic index of Kn, n
On Graphs Whose Acyclic Graphoidal Covering Number Is One Less Than Its Cyclomatic Number
A square-covering problem
New Proofs For Whipple's Transformation And Watson's q-Whipple Transformation
Subsequence Sums Of Zero-Sum Free Sequences II
On the weight distributions of some q-ary cyclic codes
Maximum Minimal k-rankings of Cycles
Simple 3-(q+1, 5, 3) designs admitting an automorphism group PSL(2, q) with q ≅ 1 (mod 4)
Lower and Upper Orientable Strong Radius and Strong Diameter of the Cartesian Product of Complete Graphs
Graph Operations and Point-Distinguishing Chromatic Indices
Identities involving harmonic numbers and inverses of binomial coefficients
A note on the charaterization of potentially K 1, 1, s -graphic sequences
Some Games related to Permutation Group Statistics and their type B Analogues
On Holey Schroder Designs of Type 2 n u 1
On a new Stirling's series
Implicit degree sum condition for long cycles
One and Two-Block Configurations in Balanced Ternary Designs
A kind of conditional vertex connectivity of recursive circulants
On The Unsplittable Minimal Zero-Sum Sequences Over Finite Cyclic Groups Of Prime Order
On The Complexity Of Unique List Colourability And The Fixing Number Of Graphs
The uniqueness of the generalized quadrangle of order 5 with an axis of symmetry
Minimal Enclosings of Triple Systems II: Increasing The Index By 1
Lattices generated by orbits of subspaces in t-singular spaces
Arc-connectivity of regular digraphs with two orbits
On the vertex distinguishing equitable edge-coloring of graphs
Residual Closeness Of Splitting Networks
A note on the vertex-distinguishing proper total coloring of graphs
A few identities involving partitions with a fixed number of parts
On Ruehr's Identities
Group divisible designs with block size 4 and number of groups 2 or 3
On the Group of Line Crossings on the 2-D Torus
Permutations Restricted By Patterns Of Type (2, 1)
A Cube-Packing Problem
Plane graphs without homeomorphically irreducible spanning trees
Some Algebraic Properties of Bi-Circulant Digraphs
A Ballot Number Formulary
On the Shelter of a Poset & Its Algebraic Applications
Enumerating oriented triangle graphs
Illuminating a Graph
Some Maximally Tough Circulants
A Sufficient Condition for Quasi-Claw-Free Hamiltonian Graphs
The radio number of standard caterpillars
A zero-sum conjecture for trees
Some properties of two-color partitions
Enumerations of Unlabelled Multigraphs
New Simple 3-Designs on 26 and 28 Points
On the product of some posets: jump number, greediness
The Combinatorial Nullstellensatz and DFT on Perfect Matchings in Bipartite Graphs
Schultz and Zagreb indices in corona of two graphs
A New Series of Affine Resolvable PBIB(4) Designs in Two Replicates
The Rainbow Connectivities of Small Cubic Graphs
The sum numbers and the integral sum numbers of P n and F n
Bounds on Some Ramsey Numbers Involving Quadrilateral
Factors of r-partite graphs and bounds for the Strong Chromatic Number
On d-graceful labelings
On the Decomposition of Graphs Into Cliques
Near-perfect protection and key strategies in authentication codes under spoofing attack of order r
On the extremal Merrifield-Simmons index of quasi-unicyclic graphs
Packings with block size five and index one: v \equiv 2 (mod 4)
On the degree sequences of maximal outerplanar graphs
Finite 2-Geodesic-Transitive Cayley Graphs Of Dihedral Groups
The zero divisor graph of partially ordered set with respect to a semi-ideal
Total vertex irregularity strength of certain equitable complete m-partite graphs
A Note on Path-Matchings
Poncelet's Theorem in the four non-isomorphic finite projective planes of order 9
Generalized Pell numbers and some relations with Fibonacci numbers
First Order Rotatable Designs Incorporating Neighbour Effects
Compositions With m Distinct Parts
A family of chromatically unique 5-bridge graphs
Δ-Optimum Forbidden Subgraphs and Exclusive Sum Labellings of Graphs
Packings and coverings of λK v by the graphs with seven points, seven edges and one 5-circle
Graph Decompositions into Generalized Cubes
b-coloring of Cartesian product of odd graphs
Mobius Functions and Characteristic Polynomials of Subspace Lattices Under the Finite Classical Groups
Some properties of nonnegative integral matrices
On the Metric Dimension of Generalized Petersen Graphs
An Algorithm for Constructing two disjoint Hadamard Designs
Reciprocal Sums of lth Power of Generalized Binary Sequences with Indices
On-line and Non-line Weighted Generalized Fibonomial Sums
On constructions of infinite families of k-tight optimal double-loop networks
Characterizing K r+1 -C k -graphic Sequences
Graceful Lobsters Obtained from Diameter Four Trees Using Partitioning Technique
Line Graphs and Circulants
The values sqrt(2q) and log2q: their relationship with k-arcs
Extremal Size In Graphs With Bounded Degree
2-upper bound graphs of posets
An Alternate Form of Merino-Mǐcka-Mütze's Solution to a Knuth's Combinatorial Generation Problem
On edge contractible graphs
Cyclic and Negacyclic codes of length 2 m over finite fields
Maximum Packing of Dt - P and Dt U P with Mendelsohn Triples
Embedding of Hypercubes into Generalized Books
Set-magic labelings of infinite graphs
The corona between paths and cycles
Degree Conditions for Graphs to Be Fractional k-Covered Graphs
The digraphs from finite fields
Perfect one-factorizations in generalized Petersen graphs
Constructions of pairs of Tutte-equivalent graphs
On (a, b;n)-graceful labeling of path Pn
A Study on Radial Graphs
A note on enumeration of noncrossing partitions
On Bandwidth and Cyclic Bandwidth of Graphs
Closure, Path-Factors and Path Coverings in Claw-Free Graphs
A Note On The Q-Lucas Theorem
Cube factorizations of complete multipartite graphs
On the Local Colorings of Graphs
P 2k+1 -factorization of symmetric complete bipartite multi-digraphs
Partial Fraction Decomposition And Determinant Identities
Domination and total domination critical trees with respect to relative complements
Color degree and heterochromatic paths in edge-colored graphs
Cyclic 9-coloring of plane graphs with maximum face degree six
Mengerian results for distance-n connectivity
Simple 3-designs of PSL(2, 2 n ) with block size 7
Graphs with complete minimal k-vertex separators
Algorithmic Aspects of Vertex-edge Domination in Some Graphs
Minimum Metric Dimension of Illiac Networks
A Decomposition Theorem for Simply Connected Orthogonal Polygons
Proper Partitions of a Polygon and k-Catalan Numbers
Lattices generated by orbits of flats under finite affine-singular symplectic groups
Trees with the fourth largest number of maximal independent sets
New inequalities on the hyperbolicity constant of line graphs
Circular Chromatic Numbers and Fractional Chromatic Numbers of Distance Graphs with Distance Sets Missing An Interval
Type B set partitions, an analogue of restricted growth functions
Two results on BCI-subset of finite groups
Atom-bond connectivity index of unicyclic graphs with perfect matchings
The chromatic equivalence class of graph ψ n 3 (n-3, 1)
The Number of Nowhere-Zero Tensions on Graphs and Signed Graphs
Generalized Fibonacci polynomial of graph
Flexibility of Circular Graphs C(2n, 2) on the Projective Plane
A construction of holey perfect Mendelsohn designs
The Dynamics Of The Difference Equation x n+1 ={α x n-k }/{β +γ x p_{n-(k+1)}
On Some Generalized Geometric Sequences, Stirling Numbers and Euler Polynomials
On embedding partial unitals and large (k, n)-arcs
Prime Power Divisors of the Number of n x n Alternating Sign Matrices
On the reciprocal degree distance of graphs with cut vertices or cut edges
Mod sum number of wheels
On harmonious tree labelings
Refining the Graph Density Condition for the Existence of Almost K-factors
An Addressing Scheme On Complete Bipartite Graphs
n-Color Analogues of Gaussian Polynomials
Hypercube-Anti-Ramsey Numbers of Q 5
The Binet formula for the k-generalized Fibonacci numbers
The Bondage Number of Graphs with Crossing Number Less than Four
The ascending star subgraph decomposition of some star forests
Error-tolerance pooling design in a finite vector space
k-Generalized Order-k Perrin Number Presentation by Matrix Method
Upper bounds on the domination number of a graph in terms of order and minimum degree
Color Switching Games
Constructions and Bounds for Splitting and Separating Systems
Degree sequence conditions for super-edge-connected graphs and digraphs
The Randic Indices of Trees, Unicyclic Graphs and Bicyclic Graphs
A Syndrome-Distribution Decoding of Mols Lp Codes
Extending Partial Latin Cubes
On Quadrangulations of Closed Surfaces Covered by Vertices of Degree 3
On B 5 -Groups
Formulae For Two Weighted Binomial Identities With The Falling Factorials
Strongly pan-factorial property in cages
On the Q-index and index of triangle-free quasi-tree graphs
Edge coloring of 1-planar graphs without intersecting triangles and chordal 5-cycles
A Note on the Adjacent Vertex Distinguishing Total Chromatic Number of Some Cubic Graphs
A Ramsey Goodness Result for Graphs with Many Pendant Edges
Closed Paths In The Coset Diagrams for < y, t : y6 = t6 = 1 > Acting On Real Quadratic Fields
On Smallest Maximally Nonhamiltonian Graphs
A Note On Derivations In Subtraction Algebras
Generalized characteristic polynomial of generalized R-vertex corona
Embedding Graphs Containing K5-Subdivisions
The Maximum Number Of One-Edge Extensions For Graphs With Bounded Degree
The Connected Domination and Tree Domination of P(n, k) for k = 1, 2, [n/2]
New Families of Graceful Disconnected Graphs
A Note on Roman Bondage Number of Graphs
On the Magic Space of Locally Finite Graphs
A combinatorial approach to improved Bonferroni inequalities
On the Supermagic Edge-splitting Extension of Graphs
On the Ramsey Numbers R(C m , B n )
Large Neighbourhood Unions and Edge-disjoint Perfect Matchings
On Disconnected Graph with Large Reconstruction Number
On Some Properties of Cages
Notes on the (s, t)-Lucas and Lucas Matrix Sequences
Fractional incidence coloring and star arboricity of graphs
Pebbling Number Of The Graph D n , C m
The minimal size of a graph with given generalized 3-edge-connectivity
About General Order Regular Flexagons
NS1D0 Sequences and Anti-Pasch Steiner Triple Systems
Colouring of distance graphs
Theorems About PI Indices
On Generalizing the "Lights Out" Game and a Generalization of Parity Domination
The Ramsey Numbers R(C ≤n , K m )
Covering finite groups by subset products
The L(2, 1)-labeling problem on ditrees
Identities Involving the Fibonacci Polynomials
The Quotients of G3, 11, 924
On the Surface Areas of the Alternating Group Graph and the Split-Star Graph
Strongly Spanning Trailable Graphs with Short Longest Paths
Remarks On Group Rings And The Davenport Constant
The least eigenvalues of unicyclic graphs
Vertex-neighbor-scattering number of graphs
A Note On Bi-Normal Cayley Graphs
Generalized Steiner Triple Systems with Group Size g = 7, 8
An application of the incidence matrix to digraphs
On metric dimension of convex polytopes with pendant edges
On Bi-Periodic Fibonacci And Lucas Numbers by Matrix Method
Rainbow connection numbers of line graphs
Coloring of graphs with cost-functions whose marginal costs decrease
A Note on Co-Maximal Ideal Graph of Commutative Rings
On line graphs which are weakly maximal clique irreducible
Graphs with Maximum Edge-Integrity
Simple Kirkman Packing Designs SKPD({3, 4}, v) with index two
Centers of Tensor Products of Graphs
Permutations Containing A Pattern Exactly Once And Avoiding At Least Two Patterns Of Three Letters
Generalized Exponents of Primitive, Nearly Reducible Matrices
Lattices associated with finite vector spaces and finite affine spaces
On the sum-connectivity spectral radius and sum-connectivity Estrada index of graphs
Laplacian and signless Laplacian characteristic polynomial of generalized subdivision corona vertex graph
On the sum of reciprocal Tribonacci numbers
A sharp upper bound on the spectral radius of generalized weighted digraphs
Bicyclic Directed Triple Systems
Polychrome labelings of trees and cycle
Extremal Triangular Chain Graphs For Bond Incident Degree (BID) Indices
On the (s, t)-Fibonacci and Fibonacci Matrix Sequences
On derivations of lattice implication algebras
Partitioning a strong tournament into k cycles
Royal Colorings of Graphs
Automorphism groups of tetravalent Cayley graphs on regular 5-groups
Hyper Wiener index of zigzag polyhex nanotorus
Degree Sequences of Halin Graphs, and Forcibly Cograph-graphic Sequences
The 2-color Rado Number of x 1 + x 2 + ... + x m-1 = ax m , II
Linear Codes over Finite Chain Rings
A New Algorithm for General Cyclic Heptadiagonal Linear Systems using Sherman-Morrison-Woodbury formula
Norm-Based Approximations in E-Convex Multi-objective Programming
Stability Number and Fractional F-factors in Graphs
Total coloring of regular graphs of girth = degree + 1
An algorithm for the generation of M-sequences using universal circuit matrix
Two-color Rado number for x + y + c = 4z
Sums of Products of Binomial Coefficients
Fibonacci Numbers And Positive Braids
On the Laplacian spectral characterization of the generalized T-shape trees
Toughness of graphs and 2-factors with given properties
The Greedy Algorithm for Domination in Cubic Graphs
Fundamental Subsets of Edges of Hypercubes
Spectral characterization of a specific class of trees
An Incomparable Upper Bound For The Largest Laplacian Graph Eigenvalue
Minus k-subdomination in graphs
Odd and Even Dominating Sets with Open Neighborhoods
To Determine 1-Extendable Graphs and its Algorithm
Double Youden rectangles of sizes p(2p+1) and (p+1)(2p+1)
Some Posets Of Unicyclic Graphs Based On Signless Laplacian Coefficients
Detour Domination in Graphs
Two Constructions of Authentication Codes with Multiple Arbiters
On (t, k)-shredders in k-connected graphs
Connectivity of bi-Cayley Graphs
Some sharp bounds for the spectral radius and energy of digraphs
Some Properties Of Strong Domination Numbers Of Hypergraphs
Bipartite graphs with every k-matching in a Hamiltonian cycle
Jacobi Forms and Hilbert-Siegel Modular Forms over Totally Real Fields and Self-Dual Codes over Polynomial Rings Z 2m [x] / <g(x)>
Conics Characterizing The Generalized Fibonacci And Lucas Sequences With Indices In Arithmetic Progressions
Dominating set and hamiltonicity in claw-heavy graphs
On Super Edge-Magic Graphs
Three Mutually Orthogonal Idempotent Latin Squares of Order 18
On factorisations of cyclic permutations into transpositions
Some Identities Of Symmetry For Carlitz q-Bernoulli Polynomials Invariant Under S 4
New results on sum graph theory
A Relationship Between Balanced Modular Tableaux and k-Ribbon Shapes
A Note on Harmonic Index and Coloring Number of a Graph
Maximum Wiener Index of Unicyclic Graphs with Fixed Maximum Degree
The Inverse Domination Number of a Graph
Spanning Sets and Scattering Sets in Handcuffed Designs of order v and block size 3
Constacyclic Codes over Fp + vFp
The Basis Number of The Composition of Theta Graphs with Some Graphs
Digraphs Whose Nodes are Multigraphs Having Exactly Two Degrees f and 2
A Symmetrical Beauty. A Non-simple 7-Venn Diagram With A Minimum Vertex Set
Trees with the second and third largest number of maximal independent sets
On (a, d)-Antimagic Prisms
All good (bad) words consisting of four blocks
On chromatic number of graphs without certain induced subgraphs
The crossing number of flower snarks and related graphs
Rainbow Vertex Connection Numbers and Total Rainbow Connection Numbers of Middle and Total Graphs
Spanning multipartite tournaments of semicomplete multipartite digraphs
Three types of edge-switchable kite systems
Covering the Powers of the Complete Graph with a Bounded Number of Snakes
Packing and Covering Complete Bipartite Multidigraphs with 6-circuits
Step Domination in Graphs
Further Results on Radio Number of Wedge sum of Graphs
Hypergraphs and the Helly property
Counting fuzzy subgroups of a special class of non-abelian groups of order p 3
Counting Nilpotent Pairs in Finite Groups
Norms of circulant and semicirculant matrices and Horadams sequence
A Note On Global Domination In Graphs
A sharp lower bound of index of the cacti with perfect matchings
On flag-transitive 6 - (v, k, λ) designs with λ ≤ 5
Noncrossing partitions with fixed points having specific properties
Double Circulant Self-Dual Codes over GF(5)
Some new classes of upper embeddable graphs
The number of maximal independent sets in trees and forests
5-factor-critical graphs on the torus
On the strongly c-harmoniousness of cycle with some chords
Weakly split graphs and regular cellulations of the 3-sphere
Near polygons having a big sub near polygon isomorphic to HD(2n-1, 4)
P m U P k -equipackable paths and cycles
Mimeomatroids
Disjoint cycles in directed graphs
Quadratic Nonresidues and the Combinatorics of Sign Multiplication
On edge irregularity strength of products of certain families of graphs with path P 2
Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences
A Note on the Decomposition Dimension of Complete Graphs
Diatonic Graphs
A note on the intersection graph of subspaces of a vector space
Which Graphs Have Hall Number Two?
Counting pan-fan maps on nonorientable surfaces
On bipartite factorization of complete bipartite multigraphs
Worst-Case Analysis of Read's Chromatic Polynomial Algorithm
Simple permutations, alternating permutations, and the superpatterns that contain them
On a conjecture about (k, t)-choosability
(a, d)-Antimagic Parachutes II
Domination in lexicographic product graphs
Balanced strands for asymmetric, edge-graceful spiders
Uniform Restricted Resolvable Designs with r = 3
Chromatic number of regular walls
A note on the minus edge domination number in graphs
On generalizing a theorem of Jung
A note on B-T unitals in PG(2, q 2 )
Generating (n, 2) De Bruijn Sequences with Some Balance and Uniformity Properties
Classical varieties and caps
Decomposition of λK v into kites and 4-cycles
The Induced Matching Extendability of C 2n (1, k)
Rooted General Maps on All Surfaces
Remarks on two special matrices
The extremal fully loaded graphs with respect to Merrifield-Simmons index
i?(1)-perfect graphs with girth at least six
On (K 4 , K 4 -e)-Designs
Regular Weighted Graphs Without Positive Cuts
Distance labelings and (total-)neighbor-distinguishing colorings of the edge-multiplicity-paths-replacements
Effect of parallelism on the efficiency of binary tree search
A note on graphs with disjoint dominating and total dominating sets
Differential in Cartesian Product Graphs
Some q-Dixon-like summation formula
On the Erdos-Faber-Lovasz Conjecture
On Removable Series Classes In Critically Connected Binary Matroids
Some new results on soft hypermodules
The Graphs C(t)11 are Graceful for t = 0, 1 (mod 4)
All graphs are set reconstructible if all 2-connected graphs are set reconstructible
On r-(k)-pancyclic Graphs
Fault Tolerance of λ-Optimal Graphs
Restricted Edge Connectivity of Edge Transitive Graphs
E 3 -cordiality os some helm-related graphs
Limited packing vs tuple domination in graphs
On the Cordiality of the t-Uniform Homeomorphs - II (Complete Graphs)
Domination In The Cross Product Of Digraphs
New orthogonal designs and sequences with two and three variables in order 28
Neighbor Rupture Degree And The Relations Between Other Parameters
Uniform Step Magic Squares Revisited