Class information for:
Level 2: COMPETITION GRAPH//IRREGULARITY STRENGTH//COMPETITION NUMBER

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
12 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, INFORMATION SYSTEMS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE 1181119
216 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 51096
3504 2             COMPETITION GRAPH//IRREGULARITY STRENGTH//COMPETITION NUMBER 1550
15003 1                   GRACEFUL LABELING//GRACEFUL GRAPH//INTEGRAL SUM GRAPH 764
22329 1                   IRREGULARITY STRENGTH//COMBINATORIAL NULLSTELLENSATZ//ADJACENT VERTEX DISTINGUISHING TOTAL COLORING 409
26521 1                   COMPETITION GRAPH//COMPETITION NUMBER//VAGUE GRAPH 273
36057 1                   HIGHLY IRREGULAR GRAPHS//IRREGULARITY OF A GRAPH//OBLIQUE GRAPHS 104

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPETITION GRAPH authKW 1184161 4% 94% 62
2 IRREGULARITY STRENGTH authKW 652871 2% 94% 34
3 COMPETITION NUMBER authKW 650615 2% 100% 32
4 COMBINATORIAL NULLSTELLENSATZ authKW 594683 3% 75% 39
5 GRACEFUL LABELING authKW 542736 2% 86% 31
6 ARS COMBINATORIA journal 516330 20% 8% 310
7 GRACEFUL GRAPH authKW 508293 2% 100% 25
8 ADJACENT VERTEX DISTINGUISHING TOTAL COLORING authKW 365971 1% 100% 18
9 INTEGRAL SUM GRAPH authKW 365971 1% 100% 18
10 NEIGHBOR SUM DISTINGUISHING TOTAL COLORING authKW 365971 1% 100% 18

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 36498 66% 0% 1021
2 Mathematics, Applied 9010 31% 0% 477
3 Statistics & Probability 3352 12% 0% 182
4 Computer Science, Artificial Intelligence 344 5% 0% 70
5 Computer Science, Information Systems 154 3% 0% 50
6 Computer Science, Theory & Methods 79 3% 0% 41
7 Computer Science, Interdisciplinary Applications 67 2% 0% 38
8 Computer Science, Software Engineering 28 1% 0% 23
9 Mathematics, Interdisciplinary Applications 5 1% 0% 14
10 Multidisciplinary Sciences 3 1% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GR H THEORY PLICAT GRP 260240 1% 80% 16
2 INFORMAT ELECT ECON 110692 0% 78% 7
3 COMBINATORIAL MATH GRP 107000 1% 53% 10
4 INFORMAT PROC CONTROL ENGN 101659 0% 100% 5
5 CIENCIES POLIT JURID 60995 0% 100% 3
6 MATH 4520 60983 1% 33% 9
7 PUNJAB UNIV INFORMAT TECHNOL 50824 0% 50% 5
8 MATH EDUC STUDY PROGRAM 45745 0% 75% 3
9 ABDUS SALAM MATH SCI 44794 2% 7% 30
10 COMBINATORIAL MATH 29290 0% 21% 7

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ARS COMBINATORIA 516330 20% 8% 310
2 UTILITAS MATHEMATICA 321186 11% 10% 164
3 DISCRETE MATHEMATICS 125648 17% 2% 271
4 DISCUSSIONES MATHEMATICAE GRAPH THEORY 56136 2% 8% 33
5 GRAPHS AND COMBINATORICS 27442 3% 3% 52
6 JOURNAL OF GRAPH THEORY 25188 4% 2% 57
7 DISCRETE APPLIED MATHEMATICS 20387 5% 1% 82
8 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 12018 1% 4% 16
9 JOURNAL OF COMBINATORIAL OPTIMIZATION 11805 2% 2% 28
10 ELECTRONIC JOURNAL OF COMBINATORICS 7969 2% 1% 32

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMPETITION GRAPH 1184161 4% 94% 62 Search COMPETITION+GRAPH Search COMPETITION+GRAPH
2 IRREGULARITY STRENGTH 652871 2% 94% 34 Search IRREGULARITY+STRENGTH Search IRREGULARITY+STRENGTH
3 COMPETITION NUMBER 650615 2% 100% 32 Search COMPETITION+NUMBER Search COMPETITION+NUMBER
4 COMBINATORIAL NULLSTELLENSATZ 594683 3% 75% 39 Search COMBINATORIAL+NULLSTELLENSATZ Search COMBINATORIAL+NULLSTELLENSATZ
5 GRACEFUL LABELING 542736 2% 86% 31 Search GRACEFUL+LABELING Search GRACEFUL+LABELING
6 GRACEFUL GRAPH 508293 2% 100% 25 Search GRACEFUL+GRAPH Search GRACEFUL+GRAPH
7 ADJACENT VERTEX DISTINGUISHING TOTAL COLORING 365971 1% 100% 18 Search ADJACENT+VERTEX+DISTINGUISHING+TOTAL+COLORING Search ADJACENT+VERTEX+DISTINGUISHING+TOTAL+COLORING
8 INTEGRAL SUM GRAPH 365971 1% 100% 18 Search INTEGRAL+SUM+GRAPH Search INTEGRAL+SUM+GRAPH
9 NEIGHBOR SUM DISTINGUISHING TOTAL COLORING 365971 1% 100% 18 Search NEIGHBOR+SUM+DISTINGUISHING+TOTAL+COLORING Search NEIGHBOR+SUM+DISTINGUISHING+TOTAL+COLORING
10 VERTEX LABELING 352966 2% 69% 25 Search VERTEX+LABELING Search VERTEX+LABELING

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 2



rank cluster_id2 link
1 3341 GROUP TESTING//METRIC DIMENSION//IDENTIFYING CODES
2 3760 COMBINATORIAL GAMES//MAGIC SQUARES//SIERPINSKI GRAPHS
3 1443 JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//DISTANCE REGULAR GRAPH
4 348 DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B
5 1904 INTERCONNECTION NETWORKS//HYPERCUBE//STAR GRAPH
6 1757 RAMSEY NUMBER//COMBINATORICS PROBABILITY & COMPUTING//DISCRETE MATHEMATICS
7 3324 DISCRETE TOMOGRAPHY//DEGREE SEQUENCE//VERTEX RANKING
8 2378 LAPLACIAN MATRIX//ADJACENCY MATRIX//SPECTRAL RADIUS
9 2106 SEMIGROUP FORUM//SOFT SET//SOFT SETS
10 3406 OPTICAL CODE DIVISION MULTIPLE ACCESS OCDMA//OPTICAL CODE DIVISION MULTIPLE ACCESS//OPTICAL ORTHOGONAL CODE

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