Class information for:
Level 1: HADWIGERS CONJECTURE//K LINKED GRAPH//K ORDERED GRAPH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22883 365 13.0 37%


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
22883 1                   HADWIGERS CONJECTURE//K LINKED GRAPH//K ORDERED GRAPH 365

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 HADWIGERS CONJECTURE authKW 1475155 6% 77% 23
2 K LINKED GRAPH authKW 501947 2% 100% 6
3 K ORDERED GRAPH authKW 501947 2% 100% 6
4 K ORDERED authKW 430238 2% 86% 6
5 K LINKED authKW 348572 1% 83% 5
6 H LINKED authKW 334631 1% 100% 4
7 HAMILTONIAN NUMBER authKW 334631 1% 100% 4
8 INDEPENDENT PATHS authKW 261427 1% 63% 5
9 4 ORDERED authKW 250973 1% 100% 3
10 TRACEABLE NUMBER authKW 250973 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 13970 83% 0% 304
2 Mathematics, Applied 595 17% 0% 62
3 Computer Science, Theory & Methods 241 8% 0% 28
4 Statistics & Probability 120 5% 0% 18
5 Computer Science, Software Engineering 35 3% 0% 10
6 Computer Science, Information Systems 3 1% 0% 5
7 Computer Science, Hardware & Architecture 1 1% 0% 2
8 Computer Science, Interdisciplinary Applications 0 1% 0% 3
9 Operations Research & Management Science 0 1% 0% 2
10 Automation & Control Systems -0 0% 0% 1

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 DESIGN ANAL INFORMAT SYST 83658 0% 100% 1
2 DIPARTIMENTO INFORMAT CA VIGNAL 83658 0% 100% 1
3 MATH PHYS MATH PL 83658 0% 100% 1
4 MATH DATALOGI 41828 0% 50% 1
5 EUIT AGRICOLA 22305 1% 13% 2
6 GRP INFORMAT FONDAMENTALE METZ 20913 0% 25% 1
7 INFORMAT SCI SYST ENGN 18817 1% 8% 3
8 MATH PU PL JOSEPH LIOUVILLE 15207 1% 9% 2
9 PURE MATH MATH STAT 14522 3% 2% 11
10 CLIN GAMBLING DISORDERS 13941 0% 17% 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 COMBINATORIAL THEORY SERIES B 99551 14% 2% 52
2 JOURNAL OF GRAPH THEORY 69961 13% 2% 46
3 COMBINATORICA 32932 6% 2% 23
4 DISCRETE MATHEMATICS 31192 18% 1% 66
5 GRAPHS AND COMBINATORICS 22790 6% 1% 23
6 COMBINATORICS PROBABILITY & COMPUTING 20655 4% 2% 15
7 EUROPEAN JOURNAL OF COMBINATORICS 14393 6% 1% 23
8 SIAM JOURNAL ON DISCRETE MATHEMATICS 11800 5% 1% 17
9 ARS COMBINATORIA 9956 6% 1% 21
10 ELECTRONIC JOURNAL OF COMBINATORICS 3345 3% 0% 10

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 HADWIGERS CONJECTURE 1475155 6% 77% 23 Search HADWIGERS+CONJECTURE Search HADWIGERS+CONJECTURE
2 K LINKED GRAPH 501947 2% 100% 6 Search K+LINKED+GRAPH Search K+LINKED+GRAPH
3 K ORDERED GRAPH 501947 2% 100% 6 Search K+ORDERED+GRAPH Search K+ORDERED+GRAPH
4 K ORDERED 430238 2% 86% 6 Search K+ORDERED Search K+ORDERED
5 K LINKED 348572 1% 83% 5 Search K+LINKED Search K+LINKED
6 H LINKED 334631 1% 100% 4 Search H+LINKED Search H+LINKED
7 HAMILTONIAN NUMBER 334631 1% 100% 4 Search HAMILTONIAN+NUMBER Search HAMILTONIAN+NUMBER
8 INDEPENDENT PATHS 261427 1% 63% 5 Search INDEPENDENT+PATHS Search INDEPENDENT+PATHS
9 4 ORDERED 250973 1% 100% 3 Search 4+ORDERED Search 4+ORDERED
10 TRACEABLE NUMBER 250973 1% 100% 3 Search TRACEABLE+NUMBER Search TRACEABLE+NUMBER

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 REED, B , WOOD, DR , (2016) FORCING A SPARSE MINOR.COMBINATORICS PROBABILITY & COMPUTING. VOL. 25. ISSUE 2. P. 300 -322 18 95% 0
2 FABILA-MONROY, R , WOOD, DR , (2013) ROOTED K-4-MINORS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 2. P. - 14 93% 0
3 ELLINGHAM, MN , PLUMMER, MD , YU, GX , (2012) LINKAGE FOR THE DIAMOND AND THE PATH WITH FOUR VERTICES.JOURNAL OF GRAPH THEORY. VOL. 70. ISSUE 3. P. 241-261 14 93% 2
4 KAWARABAYASHIA, K , MA, J , YU, XX , (2015) SUBDIVISIONS OF K-5 IN GRAPHS CONTAINING K-2,K-3.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 113. ISSUE . P. 18 -67 11 100% 0
5 KOSTOCHKA, AV , PRINCE, N , (2012) ON KS,T-MINORS IN GRAPHS WITH GIVEN AVERAGE DEGREE, II.DISCRETE MATHEMATICS. VOL. 312. ISSUE 24. P. 3517-3522 11 100% 1
6 KUHN, D , OSTHUS, D , (2006) IMPROVED BOUNDS FOR TOPOLOGICAL CLIQUES IN GRAPHS OF LARGE GIRTH.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 20. ISSUE 1. P. 62-78 13 93% 4
7 FERRARA, M , GOULD, R , JACOBSON, M , PFENDER, F , POWELL, J , WHALEN, T , (2012) NEW ORE-TYPE CONDITIONS FOR H-LINKED GRAPHS.JOURNAL OF GRAPH THEORY. VOL. 71. ISSUE 1. P. 69-77 10 100% 4
8 FOX, J , (2010) COMPLETE MINORS AND INDEPENDENCE NUMBER.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 24. ISSUE 4. P. 1313-1321 13 81% 3
9 FIORINI, S , JORET, G , THEIS, DO , WOOD, DR , (2012) SMALL MINORS IN DENSE GRAPHS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 33. ISSUE 6. P. 1226-1245 13 76% 3
10 HALPERIN, A , MAGNANT, C , WANG, H , (2015) ON LARGE SEMI-LINKED GRAPHS.DISCRETE MATHEMATICS. VOL. 338. ISSUE 1. P. 122 -129 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 12038 BINARY MATROID//CONTRACTIBLE EDGE//MATROID
2 21305 BLOW UP LEMMA//ABSORBING METHOD//VERTEX DISJOINT
3 3381 PARAMETERIZED COMPLEXITY//TREEWIDTH//PATHWIDTH
4 9576 CLAW FREE GRAPH//HAMILTONIAN GRAPH//COLLAPSIBLE GRAPH
5 9477 CHOOSABILITY//LIST COLORING//TOTAL COLORING
6 17978 NOWHERE ZERO FLOWS//SNARK//NOWHERE ZERO 3 FLOW
7 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY
8 23245 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
9 14305 MULTIPARTITE TOURNAMENTS//KERNEL BY MONOCHROMATIC PATHS//HYPERTOURNAMENT
10 25494 DEFENSIVE ALLIANCE//JUDICIOUS PARTITION//SECURE SET

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