human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "proximity results and faster algorithms for integer programming using the steinitz lemma"
  Abstract: We consider integer programming problems in standard form $\max \{c^Tx : Ax = b, \, x\geq 0, \, x \in Z^n\}$ where $A \in Z^{m \times n}$, $b \in Z^m$ and $c \in Z^n$. We show that such an integer program can be solved in time $(m \Delta)^{O(m)} \cdot \|b\|_\infty^2$, where $\Delta$ is an upper bound on each absolute value of an entry in $A$. This improves upon the longstanding best bound of Papadimitriou (1981) of $(m\cdot \Delta)^{O(m^2)}$, where in addition, the absolute values of the entries of $b$ also need to be bounded by $\Delta$. Our result relies on a lemma of Steinitz that states that a set of vectors in $R^m$ that is contained in the unit ball of a norm and that sum up to zero can be ordered such that all partial sums are of norm bounded by $m$. We also use the Steinitz lemma to show that the $\ell_1$-distance of an optimal integer and fractional solution, also under the presence of upper bounds on the variables, is bounded by $m \cdot (2\,m \cdot \Delta+1)^m$. Here $\Delta$ is again an upper bound on the absolute values of the entries of $A$. The novel strength of our bound is that it is independent of $n$. We provide evidence for the significance of our bound by applying it to general knapsack problems where we obtain structural and algorithmic results that improve upon the recent literature.

Connected through hyperedge HE-1 (induced by source paper "n fold integer programming via lp rounding"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "faster algorithms for integer programs with block structure"
    - "empowering the configuration ip new ptas results for scheduling with setups times"
    - "near linear time algorithm for n fold ilps via color coding"
    - "on integer programming and convolution"
    - "tight complexity lower bounds for integer linear programming with few constraints"
    - "scheduling meets n fold integer programming"
    - "combinatorial n fold integer programming and applications"

Connected through hyperedge HE-2 (induced by source paper "multitype integer monoid optimization and applications"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "faster algorithms for integer programs with block structure"
    - "empowering the configuration ip new ptas results for scheduling with setups times"
    - "near linear time algorithm for n fold ilps via color coding"
    - "on integer programming and convolution"
    - "on the graver basis of block structured integer programming"
    - "scheduling meets n fold integer programming"
    - "about the structure of the integer cone and its application to bin packing"

Connected through hyperedge HE-3 (induced by source paper "about the complexity of two stage stochastic ips"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "faster algorithms for integer programs with block structure"
    - "empowering the configuration ip new ptas results for scheduling with setups times"
    - "new bounds on augmenting steps of block structured integer programs"
    - "near linear time algorithm for n fold ilps via color coding"
    - "tight complexity lower bounds for integer linear programming with few constraints"
    - "on the graver basis of block structured integer programming"
    - "scheduling meets n fold integer programming"

Connected through hyperedge HE-4 (induced by source paper "shorter labeling schemes for planar graphs"):
  with members:
    - "planar graphs as l intersection or l contact graphs"
    - "optimal distance labeling schemes for trees"
    - "optimal induced universal graphs and adjacency labeling for trees"
    - "simpler faster and shorter labels for distances in graphs"
    - "sublinear space distance labeling using hubs"
    - "new routing techniques and their applications"
    - "near optimal labeling schemes for nearest common ancestors"

Connected through hyperedge HE-5 (induced by source paper "breaking symmetries to rescue sum of squares the case of makespan scheduling"):
  with members:
    - "the power of sum of squares for detecting hidden structures"
    - "sum of squares lower bounds for refuting any csp"
    - "quasi ptas for scheduling with precedences using lp hierarchies"
    - "a nearly tight sum of squares lower bound for the planted clique problem"
    - "polynomial time tensor decompositions with sum of squares"
    - "closing the gap for makespan scheduling via sparsification techniques"
    - "on the hardest problem formulations for the 0 1 lasserre hierarchy"
    - "a 1 epsilon approximation for makespan scheduling with precedence constraints using lp hierarchies"

Connected through hyperedge HE-6 (induced by source paper "on integer programming discrepancy and convolution"):
  with members:
    - "on problems equivalent to min convolution"
    - "on integer programming and convolution"
    - "tight complexity lower bounds for integer linear programming with few constraints"
    - "capacitated dynamic programming faster knapsack and graph algorithms"
    - "on the fine grained complexity of one dimensional dynamic programming"
    - "on the optimality of pseudo polynomial algorithms for integer programming"
    - "closing the gap for makespan scheduling via sparsification techniques"
    - "clustered integer 3sum via additive combinatorics"

Connected through hyperedge HE-7 (induced by source paper "new bounds on augmenting steps of block structured integer programs"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "faster algorithms for integer programs with block structure"
    - "empowering the configuration ip new ptas results for scheduling with setups times"
    - "on integer programming and convolution"
    - "scheduling meets n fold integer programming"
    - "the complexity landscape of decompositional parameters for ilp"
    - "evaluating and tuning n fold integer programming"
    - "combinatorial n fold integer programming and applications"

Connected through hyperedge HE-8 (induced by source paper "fast modular subset sum using linear sketching"):
  with members:
    - "capacitated dynamic programming faster knapsack and graph algorithms"
    - "near optimal linear decision trees for k sum and related problems"
    - "seth based lower bounds for subset sum and bicriteria path"
    - "the decision tree complexity for k sum is at most nearly quadratic"
    - "a near linear pseudopolynomial time algorithm for subset sum"
    - "strong eth breaks with merlin and arthur short non interactive proofs of batch evaluation"
    - "losing weight by gaining edges"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.DM(Discrete Mathematics)