Class information for:
Level 1: GRACEFUL LABELING//GRACEFUL GRAPH//INTEGRAL SUM GRAPH

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

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GRACEFUL LABELING authKW 1101163 4% 86% 31
2 GRACEFUL GRAPH authKW 1031274 3% 100% 25
3 INTEGRAL SUM GRAPH authKW 742518 2% 100% 18
4 CORDIAL LABELING authKW 660016 2% 100% 16
5 FRIENDLY LABELING authKW 660016 2% 100% 16
6 VERTEX LABELING authKW 660000 3% 67% 24
7 ARS COMBINATORIA journal 581893 30% 6% 231
8 SUM GRAPH authKW 580090 2% 94% 15
9 ALPHA LABELING authKW 577514 2% 100% 14
10 EDGE LABELING authKW 572744 2% 73% 19

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 21426 72% 0% 548
2 Statistics & Probability 4747 20% 0% 149
3 Mathematics, Applied 3643 28% 0% 214
4 Computer Science, Information Systems 12 2% 0% 13
5 Multidisciplinary Sciences 7 1% 0% 6
6 Computer Science, Theory & Methods 5 1% 0% 11
7 Mathematics, Interdisciplinary Applications 5 1% 0% 8
8 Information Science & Library Science 3 1% 0% 4
9 Automation & Control Systems 1 1% 0% 5
10 Engineering, General 1 1% 0% 6

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GR H THEORY PLICAT GRP 528006 2% 80% 16
2 INFORMAT PROC CONTROL ENGN 206255 1% 100% 5
3 COMBINATORIAL MATH GRP 175850 1% 47% 9
4 CIENCIES POLIT JURID 123753 0% 100% 3
5 MATH 4520 123741 1% 33% 9
6 MATH EDUC STUDY PROGRAM 92813 0% 75% 3
7 INFORMAT ELECT ECON 73331 1% 44% 4
8 CIENCIAS JURID POLIT 55000 0% 67% 2
9 ABDUS SALAM INT MATH 41251 0% 100% 1
10 BOARD HIGHER MATH 41251 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ARS COMBINATORIA 581893 30% 6% 231
2 UTILITAS MATHEMATICA 502605 19% 8% 144
3 DISCRETE MATHEMATICS 70007 19% 1% 142
4 DISCUSSIONES MATHEMATICAE GRAPH THEORY 17669 2% 3% 13
5 JOURNAL OF GRAPH THEORY 10629 3% 1% 26
6 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 5510 3% 1% 20
7 GRAPHS AND COMBINATORICS 5259 2% 1% 16
8 NATIONAL ACADEMY SCIENCE LETTERS-INDIA 1993 1% 1% 9
9 JOURNAL OF COMBINATORIAL DESIGNS 1934 1% 1% 6
10 ACTA MATHEMATICA SINICA-ENGLISH SERIES 1512 1% 0% 10

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GRACEFUL LABELING 1101163 4% 86% 31 Search GRACEFUL+LABELING Search GRACEFUL+LABELING
2 GRACEFUL GRAPH 1031274 3% 100% 25 Search GRACEFUL+GRAPH Search GRACEFUL+GRAPH
3 INTEGRAL SUM GRAPH 742518 2% 100% 18 Search INTEGRAL+SUM+GRAPH Search INTEGRAL+SUM+GRAPH
4 CORDIAL LABELING 660016 2% 100% 16 Search CORDIAL+LABELING Search CORDIAL+LABELING
5 FRIENDLY LABELING 660016 2% 100% 16 Search FRIENDLY+LABELING Search FRIENDLY+LABELING
6 VERTEX LABELING 660000 3% 67% 24 Search VERTEX+LABELING Search VERTEX+LABELING
7 SUM GRAPH 580090 2% 94% 15 Search SUM+GRAPH Search SUM+GRAPH
8 ALPHA LABELING 577514 2% 100% 14 Search ALPHA+LABELING Search ALPHA+LABELING
9 EDGE LABELING 572744 2% 73% 19 Search EDGE+LABELING Search EDGE+LABELING
10 SUPER EDGE MAGIC TOTAL LABELING 536263 2% 100% 13 Search SUPER+EDGE+MAGIC+TOTAL+LABELING Search SUPER+EDGE+MAGIC+TOTAL+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 1



rank cluster_id2 link
1 22329 IRREGULARITY STRENGTH//COMBINATORIAL NULLSTELLENSATZ//ADJACENT VERTEX DISTINGUISHING TOTAL COLORING
2 10022 MIXED HYPERGRAPH//CYCLE SYSTEM//GRAPH DECOMPOSITION
3 24345 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
4 27836 MAGIC SQUARES//MAGIC RECTANGLE//SUDOKU
5 36057 HIGHLY IRREGULAR GRAPHS//IRREGULARITY OF A GRAPH//OBLIQUE GRAPHS
6 31774 STEINHAUS GRAPH//DUCCI SEQUENCES//FIBONACCI QUARTERLY
7 27619 KONIG EGERVARY GRAPH//WELL COVERED GRAPH//MAXIMAL INDEPENDENT SET
8 24129 FROBENIUS NUMBER//NUMERICAL SEMIGROUP//PSEUDO FROBENIUS NUMBERS
9 12614 GROUP DIVISIBLE DESIGN//PAIRWISE BALANCED DESIGN//GROUP DIVISIBLE DESIGNS
10 36925 ANNALES DES MINES//AERIAL PLANTING PROJECTILE//DIPARTIMENTO COMP SCI

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