bluuebunny/crossref_metadata_2025_split huggingface dataset:
Metric and edge-metric dimensions of bobble-neighbourhood-corona graphs
Authors: Rinurwati  , Nabila R E 
Published: March 2021

Abstract
Resolving set in a graphG =(V(G), E(G)) is an ordered subset W of V(G) such that every vertex in V(G) has distinct representation with respect to W. Resolving set of G of minimum cardinality is called basis of G.Cardinality of basis of G is called metric dimension of G, dim(G). An ordered set W is called edge resolving set of G if every edge in E(G) has distinct edge-representation with respect to W. Edge-resolving sets in a graph Gof minimum cardinality is called edge-metric basis of G. Cardinality of edge-basis of G is called as edge-metric dimension of G, edim(G). Neighbourhood corona of G and H, G*H, is agraph obtained by taking graph G and |V (G)| graph Hi
with Hi i = 1,2,…, |7(G)| is copy of H, then all vertices in H¡ are connected with neighbouring vertex of vertex v¡ in V (G). In this paper, we determine and analyse metric and edge-metric dimension of bobble-neighbourhood-corona, that is metric and edge-metric dimension of neighbourhood-corona of G and H, G*H, with H is trivial graph K1, and G £ {Cn,Kn}.
The complement metric dimension of particular tree
Authors: Amalia R , Mufidah S A , Yulianto T , Faisol  , Kuzairi  
Published: March 2021

Abstract
Let G be a connected graph with vertex set V(G) and edge set E(G). The distance between vertices u and v in G is denoted by d(u,v), which serves as the shortest path length from u to v. Let W = {whw2,…,wk} ⊆ V(G) be an ordered set, and v is a vertex in G. The representation of v with respect to W is an ordered set k-tuple, r(v|W) = (d(v,w1),d(v,w2),…,d(wk)). The set Wis called a complement resolving set for G if there are two vertices u,v⊆V(G)\W, such that r(u|W)=r(v|W). A complement basis of G is the complement resolving set containing maximum cardinality. The number of vertices in a complement basis of G is called complement metric dimension of G, which is denoted by

dim

¯

(G). In this paper, we examined complement metric dimension of particular tree graphs such as caterpillar graph (Cmn), firecrackers graph (Fmn), and banana tree graph (Bm,n). We got

dim

¯

= m(n+1)-2 for m>1 and n>2,

dim

¯

= m(n+2)-2 for m>1 and n>2, and

dim

¯

= m(n+1)-1 if m>1 and n>2.
The distance 2-resolving domination number of graphs
Authors: Wardani D A R , Utoyo M I , Dafik  , Dliou K 
Published: March 2021

Abstract
The distance 2-resolving dominating set is the combination of two concepts, the resolving set and the distance 2-dominating set. The distance 2-resolving dominating set is a set that is both a distance 2-dominating set and a resolving set. The distance 2-resolving domination number is the minimum cardinality of a distance 2-resolving dominating set, denoted by γल2
(G). In this study, we define the distance 2-resolving dominating sets, and we examine distance 2- resolving domination number of graphs. We give the exact value of the distance 2-resolving domination number of complete graph, star graph, friendship graph and path graph.
On the packing chromatic number of vertex amalgamation of some related tree graph
Authors: Citra S M , Kristiana A I , Adawiyah R , Dafik  , Prihandini R M 
Published: March 2021

Abstract
All graph in this paper is simple graph. Let G = (V, E) where V is nonempty of vertex set of G and E is possibly empty set of unordered pairs of elements of V. The distance from u to v in G is the lenght of a shortest path joining them, denoted by d(u,v). A function c : V (G) → {1,2,…k} is called a k-packing coloring if every c(u) = c(v) = i and d(u, v) > i + 1. The smallest positive integer of k which has packing coloring is packing chromatic number, denoted by χρ. In this paper, we investigated packing chromatic number of vertex amalgamation of some related tree graph, namely broom graph, star graph, path graph and banana graph.
On metric chromatic number of comb product of ladder graph
Authors: Rohmatulloh M Y , Slamin  , Kristiana A I , Dafik  , Alfarisi R 
Published: March 2021

Abstract
All graphs in this paper are connected and nontrivial graph. Let f : V(G) → {1,2,…,k} be a vertex coloring of a graph G where two adjacent vertices may be colored the same color. Consider the color classes Π = {C1, C2,…, Ck}. For a vertex v of G, the representation color of v is the k-vektor r(v | Π) = {d(v, C1),d(v, C
2),…, d(v, C
k)}, where d(v, Ci) = min{ d(v, c); c e Ci}. If r(u | Π) = r(v | Π) for every two adjacent vertices u and v of G, then f is a metric coloring of G. The minimum k for which G has a metric k-coloring is called the metric chromatic number of G and is denoted by μ(G). The metric chromatic number on comb product of ladder graphs namely path graph, star graph, fan graph, cycle graph, and complete graph.
Semiparametric regression based on fourier series for longitudinal data with Weighted Lest Square (WLS) optimization
Authors: Kuzairi  , Miswanto  , Mardianto M F F 
Published: March 2021

Abstract
Regression modelling is one Statistical methods that be used to investigate the relationship between predictor variable and response variable. In regression modelling can be estimated with three approaches, such as parametric, nonparametric and semiparametric regression. In this case, we concentrated to elaborate semiparametric regression. Semiparametric regression consists of parametric and nonparametric component. This research examined semiparametric regression model with Fourier series estimator for longitudinal data. By minimizing Weighted Least Square (WLS), the Fourier series estimator depends on the oscillation parameter. The result is the estimator for parameter and curve regression, that be used to model with real data. The optimal model is selected based on minimum Generalized Cross Validation (GCV) which affects the small value of Mean Square Error (MSE) and high determination coefficient so that the model can be used further as estimation and prediction.
Magnetohydrodynamics fluid flow passing through a sliced magnetic sphere influenced by mixed convection
Authors: Widodo B 
Published: March 2021

Abstract
We consider mathematical modelling of magnetohydrodynamics viscous fluid flow when passing a magnetic sliced sphere in which the effect of mixed convection included. We therefore develop dimensional governing equations from the law of the mass conservation, momentum conservation, and energy equation. The governing equations further are converted into non-dimensional equations by using non-dimensional variables. Further, by using similarity equations in which stream function is included, we obtain non-linear system equation. This non-linear equation is solved numerically by using Keller-Box scheme. We further take numerical computation to analyze velocity and temperature on front of the lower stagnation of the magnetic sliced sphere when various parameters are included, such as Prandtl number, sliced angle, magnetic parameter and mixed convection parameter. We obtain numerical solution that when magnetic parameter increases then profile of fluid velocity decreases but the profile of fluid temperature increases. The mixed convection parameter increases then the velocity profile of the fluid increases but the temperature profile of the fluid decreases. The Prandtl number parameter increases then both of the velocity and temperature profiles of the fluid decreases, respectively. The sliced angle parameter increases then the fluid velocity profile increases but the fluid temperature profile decreases.
Scaffolding for elementary students in solving mathematical problems: a case study
Authors: Dhahir D F , Sulistyarini I 
Published: March 2021

Abstract
Mathematics subject matter does not only emphasize the result of the work but also emphasizes the understanding of the learning process. Previous studies revealed that the failure of students to solve mathematical problems may be caused by the infectivity of the students’ mathematics communication, thus they may need certain scaffoldings, especially in the online distance learning policy during the Covid-19 pandemic outbreaks. This study aims to describe how elementary students require scaffolding in solving mathematics problems. It uses a descriptive qualitative approach. The data were analyzed by using an interactive analysis model. The data were collected by participant-observation and semi-experimental methods. The subjects were four 2 nd to 9 th-grade students who were undergoing online learning from home policy. Their abilities to solve mathematics problems were observed, then scaffoldings were regarded as becoming the appropriate solution. The result indicated that students’ failure in solving mathematics problems began with their failure to understand the questions. Therefore, when communicating mathematics problems, teachers should ensure that students can understand them well. Besides, even if the questions have been delivered afterward, they frequently hampered at the next stages. Therefore, they do need personalized scaffolding in mathematics. It must correspond to each of their prior knowledge and skills, and be prepared in a clear step-by-step manner.
Mathematical collaborative learning in 21 st century based on national science olympiad in junior high school
Authors: Sutama  , Narimo S , Prayitno H J , Anif S , Sari D P 
Published: March 2021

Abstract
Learning in 21 st century is no longer interpreted as process of transfer of knowledge from teachers to students, but rather emphasizes the efforts of teachers to facilitate students in constructing concepts and solving problems independently. The purpose of this study was to describe mathematical collaborative learning in 21 st century. It was qualitative research. The research was conducted at SMP Negeri 1 Colomadu Karanganyar in 2019/2020 academic year. The research instruments included lesson plans, problem solving tasks, and observation sheets. Data validity used time triangulation. Data analyses were done through data collection, data reduction, data presentation, and drawing conclusion. Based on results, 1) The ability of critical thinking: students were skilled in concluding discussion result that had been carried out with logical assumptions and were able to determine the right actions to solve the problems; 2) The ability of creativity: students were skilled at formulating complex problem solving strategies; 3) The ability of collaboration: there was a positive dependence among students so that an academic support system was embodied, in which each group member was commited to achieve mutual success; 4) The ability of communication: there was dynamic interaction between group members and teachers, so that learning occurs effectively.
The preliminary study of students’ creative problem-solving ability
Authors: Sipayung T N , Imelda  , Siswono T Y E , Masriyah  
Published: March 2021

Abstract
Mathematics helps students to practice their thinking skills. One of the thinking skills expected to face the times is the ability to think creatively. Therefor we need a qualitative research with descriptive methods. The research that was conducted at SMP Santo Yoseph Medan in the academic year 2020/2021 involved 16 students representing class VII-B and 14 students representing VII-C junior high schools as research subjects and the results showed that students’ creative problem-solving abilities did not show good results. The instrument used was a test of creative problem-solving abilities which consisted of 3 questions. This is analyzed based on the indicators of fluency, flexibility, and originality for solving questions number 1, 2, and 3. Based on the fluency indicator in solving problem number 1, data is obtained that 14 people are not fluent and 16 people are fluent. In solving problem number 2, data is obtained that 15 people are not fluent and 15 people are fluent. In solving problem number 3, it is obtained data that 18 people are not fluent and 12 people are fluent. Based on the indicator of flexibility in solving problem number 1, it is obtained data that 29 people are not flexible and 1 person is less flexible. In solving problem number 2, it is obtained data that 30 people are not flexible and none are flexible. In solving problem number 3, it is obtained data that 30 people are not flexible and none are flexible. Based on the originality indicator in solving problem number 1, it is obtained data that 29 are not new and 1 person is not new. In solving problem number 2, data shows that 27 are not new and 3 are not new. In solving problem number 3, it is obtained data that 27 people are not new and 3 people are not new.
On the implementation of project-based learning to improve the students creative thinking skills in solving rainbow antimagic coloring problems
Authors: Budi H S , Dafik  , Tirta I M 
Published: March 2021

Abstract
This study was intended to know the implementation of project-based learning to improve creative thinking skills of students in solving rainbow anti-magic coloring problems. The methods used in this study were a combination of quantitative and qualitative methods. The quantitative method was used for the statistical analysis of test, while the qualitative method was used to analyse data that are related to the results of the test on each indicator and the results of phase portraits. This research used two classes, experimental and control, in which each class consisted of 26 students as respondents. Both classes were given treatments with different type of learning model. In the experimental class, the learning instruments that have been developed was applied along with a project-based learning method, while in the control class only used project based learning. The results of creative thinking skills of the students for control class indicated that 53% of students were categorized as low, 37% of students were categorized as medium, and 10% of students were high-level creative thinking skill while in the experimental class 34% of students were low, 44% of students were medium, and 22% of students were high-level creative thinking skill. The homogeneity test result of two classes, using a pre-test result, showed p–value of 0.701 > 0.05; therefore, the mean difference between classes was not significant. The inferential statistical result of the independent sample t-test on the post-test showed p–value 0.0053 (p < 0.05), which was significant. It can be concluded that project-based learning has a significant effect for improving creative thinking skills of the students in solving rainbow anti-magic coloring.
The analysis of students’ creative-innovative thinking skills in solving total dominator coloring under the implementation of research-based learning model
Authors: Lazuardi A R , Slamin  , Dafik  
Published: March 2021

Abstract

Thinking skills are very important in all aspects of life, especially education. In the era of 21st century skills, creative innovative thinking skills, play a serious role in improving students’ life skills. This study aims to determine the application of research based learning (RBL) in improving students’ creative innovative thinking skills in solving the total dominator coloring. Mixed methods is the research method used in this study. The research subjects consisted of two classes, namely 24 students in the control class and 21 students in the experimental class. The two classes were given a different treatment. Control class using PBL model and experimental class using RBL student worksheets. Homogenity test results on problems pre-test showed a significance value of 0.067 > 0.05, which means that the two classes are homogeneous. The results of the independent sample t-test showed the results of 0.000 < 0.05, which means significant. The conclusion obtained from this study is that there is an increase in students’ creative innovative thinking skills after the application of research-based learning models in solving total dominator coloring problems.
The analysis of the implementation of problem-based learning students’ generalization skills in obtaining the resolving total domination number
Authors: Ervani R S R , Dafik  , Tirta I M 
Published: March 2021

Abstract
Problem Based Learning (PBL) is a way to form and teach using problems as a stimulus and focus for student activities. Student generalization skills are one of the skills that can be improved using PBL. Mathematical generalization is a competency achieved by students, which includes general perception (identificationing pattern), general expression (describing patterns), generality symbolic expression (formulating patterns), generality manipulation (using generalization results). This research was conducted to see the effect of PBL instrument development on students’ ability to solve problems solving the total dominating set. The study used a mixed method, combining quantitative and qualitative methods. The research subjects consisted of two classes each with n = 24 for control class, and n = 23 for experimental class. In the control class and the experimental class PBL model is used, but only in the experimental class applied the student worksheet. The homogeneity test of the pre-test results for both classes showed a p-value of 0.2199 (p > 0.05), so that the average difference between the two classes was not significant (homogeneous). Based on the independent t-test on the post test scores of the two classes, the p- value was 0.01682 (p < 0.05), so it can be concluded that there is an effect of PBL instrument application on students’ generalization skills.
Scientific communication skills on mechanical wave concept using student facilitator and explaining model assisted schoology
Authors: Hakim L , Alatas F 
Published: March 2021

AbstractThis research aims to find out the improvement and achievement of students’ scientific communication skills on the concept of mechanical waves using a cooperative model of student facilitator type and explaining assisted schoology. The research was conducted in the 2019/2020 school year in Man 2 Bekasi City. The sample taken was XI MIPA 3 as many as 34 students. The research method used pre experiment with the research design of the one group pre-test post-test design, sampling technique using purposive sampling. The instrument used is a test instrument in the form of an essay question as many as 9 questions and a non-test instrument to see the scientific communication of students at each meeting. The N-gain results, on the scientific communication skills (SCS) of students to find back relevant information from sources that have been read have the greatest increase. Then, based on the non-test results, it was found that the achievement of students’ scientific communication skills had increased in communicating reports orally (presentations).
Improving students' mathematical inductive reasoning ability through reflective learning Model
Authors: Kurniawati L , Miftah R , Indriani R 
Published: March 2021

Abstract
Mathematical inductive reasoning ability is one of the higher-order thinking skills that students must have. Mathematical inductive reasoning includes the process of drawing to conclude, estimating answers or solutions, and providing explanations of existing models, facts, properties, relationships, or patterns. This research aims to analyze mathematical inductive reasoning ability between students who received a reflective learning model and those who received conventional learning. The research was conducted at one of the senior high school in Tangerang Selatan. The method used in this research is a quasi-experimental method with Randomized Subjects Post-test Only Control Group Design. The instrument used was a mathematical inductive reasoning ability test. The research results based on the analysis using t-test showed that the students’ mathematical inductive reasoning ability who are taught by reflective learning model higher than students taught by the conventional model. This matter visible from the mean score of the results tests students’ mathematical inductive reasoning who taught with reflective learning model is 75,50 and who taught with a conventional model is 67,68. In conclusion, this research results that mathematics learning with a reflective learning model can improve the students’ mathematical inductive reasoning ability better than using conventional learning models.
Improving students’ mathematical creative reasoning on polyhedron through concept-based inquiry model
Authors: Dwirahayu G , Mas’ud A , Satriawati G , Atiqoh K S N , Dewi S 
Published: March 2021

Abstract
Mathematical reasoning is defined as an activity of mathematical thinking to produce statements or conclusions based on existing facts. Mathematical reasoning is divided into creative reasoning and imitative reasoning. According to constructivism theory, the idea in mathematics should be built by students, therefore mathematics become logic, meaningful, and real. One of the constructivist learning models that facilitate students to actively discover their own concepts is CBI model. The study aims to know the effectiveness of the CBI model on teaching mathematics toward improving MCR. The research is conducted in the year 2019/2020 at junior high school one in Citeureup-Bogor. Two classes, as the sample of the research, the first class as experiment class,and the second class as control class, both of them consists of 36 students. The instrument used to identify students’ MCR abilities was an essay test on the polyhedron material. By using t-test analysis at a significant level of 5%, we obtained the Sig. (2-tailed) the value obtained was 0.018. Therefore, Sig. (2-tailed) = 0.018 < α = 0.05. It means that students’ MCR taught by CBI model is higher than students’ MCR who taught with conventional learning models.
NgaBatik: Application Interactive Games to Learn About Design Batik Ngawi Based Android Through The Application of STEAM Learning Model
Authors: Febriansari Devie , Atmojo Idam Ragil Widianto , Ardiansyah Roy , Januardy Sargian 
Published: March 2021

Abstract
Batik is one of the cultural heritages that have been established by UNESCO as a Cultural Heritage Humanity’s Oral and Non-material (Masterpieces of the Oral and Intangible Heritage of Humanity) since October 2009. Art Batik is the art over the cloths to clothe the beginning only used by the family empires only. The advancement of science in the field of information and communication technology, especially the use of handheld devices Android smartphone has changed the perspective and lifestyle in carrying out daily activities. This impacted on the traditional arts activities. The less the interest of the public to learn or just know about the background of this application that combines the advancement of science in the field of technology to load content such as batik, especially in Ngawi Regency so that people can preserve it.. This application is made into a games interactive education format mockup use software Marvell and is designed to run on devices with operating systems Android and if the teacher want to explain with the students, the teachers can use STEAM learning model.