Class information for:
Level 1: DEFENSIVE ALLIANCE//JUDICIOUS PARTITION//SECURE SET

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
348 2             DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B 18056
27085 1                   DEFENSIVE ALLIANCE//JUDICIOUS PARTITION//SECURE SET 258

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DEFENSIVE ALLIANCE authKW 1884718 7% 86% 18
2 JUDICIOUS PARTITION authKW 1832370 6% 100% 15
3 SECURE SET authKW 1343738 4% 100% 11
4 OFFENSIVE ALLIANCE authKW 1110525 4% 91% 10
5 ALLIANCES IN GRAPHS authKW 732948 2% 100% 6
6 BIPARTITE SUBGRAPH authKW 549708 2% 75% 6
7 DOUBLE CRITICAL GRAPHS authKW 488632 2% 100% 4
8 POWERFUL ALLIANCES authKW 488632 2% 100% 4
9 SECURITY NUMBER authKW 488632 2% 100% 4
10 AZUMA HOEFFDING INEQUALITY authKW 488628 2% 67% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 5789 64% 0% 166
2 Mathematics, Applied 1293 29% 0% 74
3 Computer Science, Theory & Methods 311 10% 0% 26
4 Statistics & Probability 61 4% 0% 11
5 Computer Science, Interdisciplinary Applications 57 5% 0% 12
6 Computer Science, Software Engineering 44 3% 0% 9
7 Computer Science, Hardware & Architecture 22 2% 0% 5
8 Engineering, Chemical 19 5% 0% 13
9 Operations Research & Management Science 11 2% 0% 5
10 Logic 6 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CNRSPROJET MASCOTTE 122158 0% 100% 1
2 DEPERTMENT COMP SCI 122158 0% 100% 1
3 PROBABIL THEORY BIOINFORMAT 122158 0% 100% 1
4 PROJECT COATI 97724 1% 40% 2
5 ECON QUANTITAT METHODS ECON HIST 72082 2% 10% 6
6 COMBINATORIAL COMP SCI GRP 61078 0% 50% 1
7 DIPARTIMENTO INGN IMP A MARIO LUCERTINI 61078 0% 50% 1
8 DIPARTIMENTO SCI UMANIST COMUNICAZ TURISMO 61078 0% 50% 1
9 PROBABIL THEORY BIOMATH 61078 0% 50% 1
10 FB ABT INFORMAT 4 34899 1% 14% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF GRAPH THEORY 36625 11% 1% 28
2 DISCRETE MATHEMATICS 22709 18% 0% 47
3 DISCRETE APPLIED MATHEMATICS 18738 12% 0% 32
4 COMBINATORICA 15032 5% 1% 13
5 JOURNAL OF COMBINATORIAL THEORY SERIES B 8966 5% 1% 13
6 COMBINATORICS PROBABILITY & COMPUTING 8266 3% 1% 8
7 ARS COMBINATORIA 4630 5% 0% 12
8 GRAPHS AND COMBINATORICS 2985 3% 0% 7
9 ELECTRONIC JOURNAL OF COMBINATORICS 1685 2% 0% 6
10 RANDOM STRUCTURES & ALGORITHMS 1615 2% 0% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DEFENSIVE ALLIANCE 1884718 7% 86% 18 Search DEFENSIVE+ALLIANCE Search DEFENSIVE+ALLIANCE
2 JUDICIOUS PARTITION 1832370 6% 100% 15 Search JUDICIOUS+PARTITION Search JUDICIOUS+PARTITION
3 SECURE SET 1343738 4% 100% 11 Search SECURE+SET Search SECURE+SET
4 OFFENSIVE ALLIANCE 1110525 4% 91% 10 Search OFFENSIVE+ALLIANCE Search OFFENSIVE+ALLIANCE
5 ALLIANCES IN GRAPHS 732948 2% 100% 6 Search ALLIANCES+IN+GRAPHS Search ALLIANCES+IN+GRAPHS
6 BIPARTITE SUBGRAPH 549708 2% 75% 6 Search BIPARTITE+SUBGRAPH Search BIPARTITE+SUBGRAPH
7 DOUBLE CRITICAL GRAPHS 488632 2% 100% 4 Search DOUBLE+CRITICAL+GRAPHS Search DOUBLE+CRITICAL+GRAPHS
8 POWERFUL ALLIANCES 488632 2% 100% 4 Search POWERFUL+ALLIANCES Search POWERFUL+ALLIANCES
9 SECURITY NUMBER 488632 2% 100% 4 Search SECURITY+NUMBER Search SECURITY+NUMBER
10 AZUMA HOEFFDING INEQUALITY 488628 2% 67% 6 Search AZUMA+HOEFFDING+INEQUALITY Search AZUMA+HOEFFDING+INEQUALITY

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 37488 DEPENDENT ARC//FULL ORIENTABILITY//4 CRITICAL GRAPH
2 9840 RAMSEY NUMBER//LOEBL KOMLOS SOS CONJECTURE//ERDOS SOS CONJECTURE
3 23032 HADWIGERS CONJECTURE//PATH GRAPH//K LINKED GRAPH
4 12120 GRAPH LIMITS//TURAN DENSITY//SZEMEREDIS REGULARITY LEMMA
5 15155 NOWHERE ZERO FLOWS//CIRCULAR CHROMATIC NUMBER//GROUP CONNECTIVITY
6 6844 PERFECT GRAPHS//DISTANCE HEREDITARY GRAPHS//EVEN PAIR
7 11928 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING
8 37688 AIR BRAKE SYSTEM//AIR BRAKES//AIR BRAKING SYSTEM
9 15490 MULTIPARTITE TOURNAMENTS//KERNEL BY MONOCHROMATIC PATHS//PATH PARTITION CONJECTURE
10 37730 SMALL CYCLE DOUBLE COVER//CUT COVER//ORIENTED CYCLE DOUBLE COVER

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