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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25494 280 13.0 40%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
181 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 56539
303 2             DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B 18557
25494 1                   DEFENSIVE ALLIANCE//JUDICIOUS PARTITION//SECURE SET 280

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DEFENSIVE ALLIANCE authKW 1766680 6% 90% 18
2 JUDICIOUS PARTITION authKW 1417709 5% 100% 13
3 SECURE SET authKW 1199600 4% 100% 11
4 OFFENSIVE ALLIANCE authKW 991403 4% 91% 10
5 ALLIANCES IN GRAPHS authKW 654327 2% 100% 6
6 AZUMA HOEFFDING INEQUALITY authKW 490742 2% 75% 6
7 BIPARTITE SUBGRAPH authKW 490742 2% 75% 6
8 POWERFUL ALLIANCES authKW 436218 1% 100% 4
9 SECURITY NUMBER authKW 436218 1% 100% 4
10 ALLIANCE FREE SET authKW 327164 1% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 7121 68% 0% 191
2 Mathematics, Applied 1115 26% 0% 72
3 Computer Science, Theory & Methods 632 14% 0% 38
4 Statistics & Probability 95 5% 0% 14
5 Computer Science, Software Engineering 29 3% 0% 8
6 Computer Science, Hardware & Architecture 20 2% 0% 5
7 Operations Research & Management Science 9 2% 0% 5
8 Logic 6 0% 0% 1
9 Computer Science, Information Systems 3 1% 0% 4
10 Computer Science, Interdisciplinary Applications 1 1% 0% 3

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 PROJECT COATI 145405 1% 67% 2
2 CNRSPROJET MASCOTTE 109055 0% 100% 1
3 COMBINAT OPTIMAZ 109055 0% 100% 1
4 DEPERTMENT COMP SCI 109055 0% 100% 1
5 PROBABIL THEORY BIOINFORMAT 109055 0% 100% 1
6 PROBABIL THEORY BIOMATH 109055 0% 100% 1
7 SHU LI 109055 0% 100% 1
8 ECON QUANTITAT METHODS ECON HIST 67678 2% 10% 6
9 DIPARTIMENTO INGN IMP A MARIO LUCERTINI 54526 0% 50% 1
10 DIPARTIMENTO SCI UMANIST COMUNICAZ TURISMO 54526 0% 50% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF GRAPH THEORY 59007 13% 1% 37
2 DISCRETE MATHEMATICS 27227 19% 0% 54
3 JOURNAL OF COMBINATORIAL THEORY SERIES B 21145 8% 1% 21
4 DISCRETE APPLIED MATHEMATICS 17098 11% 0% 32
5 COMBINATORICA 13708 5% 1% 13
6 COMBINATORICS PROBABILITY & COMPUTING 11964 4% 1% 10
7 ARS COMBINATORIA 5765 5% 0% 14
8 GRAPHS AND COMBINATORICS 3585 3% 0% 8
9 RANDOM STRUCTURES & ALGORITHMS 2320 2% 0% 5
10 SIAM JOURNAL ON DISCRETE MATHEMATICS 1910 2% 0% 6

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 DEFENSIVE ALLIANCE 1766680 6% 90% 18 Search DEFENSIVE+ALLIANCE Search DEFENSIVE+ALLIANCE
2 JUDICIOUS PARTITION 1417709 5% 100% 13 Search JUDICIOUS+PARTITION Search JUDICIOUS+PARTITION
3 SECURE SET 1199600 4% 100% 11 Search SECURE+SET Search SECURE+SET
4 OFFENSIVE ALLIANCE 991403 4% 91% 10 Search OFFENSIVE+ALLIANCE Search OFFENSIVE+ALLIANCE
5 ALLIANCES IN GRAPHS 654327 2% 100% 6 Search ALLIANCES+IN+GRAPHS Search ALLIANCES+IN+GRAPHS
6 AZUMA HOEFFDING INEQUALITY 490742 2% 75% 6 Search AZUMA+HOEFFDING+INEQUALITY Search AZUMA+HOEFFDING+INEQUALITY
7 BIPARTITE SUBGRAPH 490742 2% 75% 6 Search BIPARTITE+SUBGRAPH Search BIPARTITE+SUBGRAPH
8 POWERFUL ALLIANCES 436218 1% 100% 4 Search POWERFUL+ALLIANCES Search POWERFUL+ALLIANCES
9 SECURITY NUMBER 436218 1% 100% 4 Search SECURITY+NUMBER Search SECURITY+NUMBER
10 ALLIANCE FREE SET 327164 1% 100% 3 Search ALLIANCE+FREE+SET Search ALLIANCE+FREE+SET

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 HOU, JF , WU, SF , YAN, GY , (2016) ON JUDICIOUS PARTITIONS OF UNIFORM HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 141. ISSUE . P. 16 -32 15 100% 0
2 SLIMANI, H , KHEDDOUCI, H , (2015) SATURATED BOUNDARY K-ALLIANCES IN GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 185. ISSUE . P. 192 -207 14 100% 0
3 FAN, GH , HOU, JF , (2017) BOUNDS FOR PAIRS IN JUDICIOUS PARTITIONING OF GRAPHS.RANDOM STRUCTURES & ALGORITHMS. VOL. 50. ISSUE 1. P. 59 -70 13 100% 0
4 BAZGAN, C , TUZA, Z , VANDERPOOTEN, D , (2010) SATISFACTORY GRAPH PARTITION, VARIANTS, AND GENERALIZATIONS.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 206. ISSUE 2. P. 271-280 22 67% 5
5 XU, X , YAN, GY , ZHANG, Y , (2016) JUDICIOUS PARTITIONS OF WEIGHTED HYPERGRAPHS.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 3. P. 609 -616 12 100% 0
6 LIU, MH , XU, BG , (2015) BIPARTITION OF GRAPH UNDER DEGREE CONSTRAINTS.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 4. P. 869 -874 14 82% 2
7 LEE, C , LOH, PS , SUDAKOV, B , (2016) JUDICIOUS PARTITIONS OF DIRECTED GRAPHS.RANDOM STRUCTURES & ALGORITHMS. VOL. 48. ISSUE 1. P. 147 -170 13 81% 0
8 BOLLOBAS, B , SCOTT, AD , (2002) PROBLEMS AND RESULTS ON JUDICIOUS PARTITIONS.RANDOM STRUCTURES & ALGORITHMS. VOL. 21. ISSUE 3-4. P. 414 -430 15 94% 36
9 LEE, C , LOH, PS , SUDAKOV, B , (2013) BISECTIONS OF GRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 103. ISSUE 5. P. 599-629 13 76% 8
10 BOLLOBAS, B , SCOTT, AD , (2004) JUDICIOUS PARTITIONS OF BOUNDED-DEGREE GRAPHS.JOURNAL OF GRAPH THEORY. VOL. 46. ISSUE 2. P. 131 -143 12 100% 12

Classes with closest relation at Level 1


Rank Class id link
1 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY
2 37371 ISOMORPHIC FACTORS//PL MATH FEI//ALMOST COMPLETE TRIPARTITE GRAPH
3 22883 HADWIGERS CONJECTURE//K LINKED GRAPH//K ORDERED GRAPH
4 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY
5 19064 CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER
6 30163 FORBIDDEN CONFIGURATIONS//SHATTERED SET//SPERNER CAPACITY
7 13927 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING
8 14305 MULTIPARTITE TOURNAMENTS//KERNEL BY MONOCHROMATIC PATHS//HYPERTOURNAMENT
9 17978 NOWHERE ZERO FLOWS//SNARK//NOWHERE ZERO 3 FLOW
10 29944 STRONG CHROMATIC INDEX//INDUCED MATCHING//INCIDENCE COLORING

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