Class information for:
Level 1: BLOW UP LEMMA//ABSORBING METHOD//VERTEX DISJOINT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21305 425 13.0 42%


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
21305 1                   BLOW UP LEMMA//ABSORBING METHOD//VERTEX DISJOINT 425

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 BLOW UP LEMMA authKW 718470 2% 100% 10
2 ABSORBING METHOD authKW 653153 2% 91% 10
3 VERTEX DISJOINT authKW 653153 2% 91% 10
4 VERTEX DISJOINT CYCLES authKW 527908 3% 57% 13
5 CHORDED CYCLES authKW 440061 2% 88% 7
6 PACKING OF GRAPHS authKW 431082 1% 100% 6
7 REGULARITY LEMMA authKW 422266 5% 26% 23
8 GRAPH PACKING authKW 337265 3% 36% 13
9 CYCLE COVERINGS authKW 287388 1% 100% 4
10 PACKING GRAPHS authKW 287388 1% 100% 4

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 18801 89% 0% 380
2 Mathematics, Applied 550 15% 0% 65
3 Statistics & Probability 156 5% 0% 22
4 Computer Science, Theory & Methods 155 6% 0% 25
5 Computer Science, Software Engineering 63 3% 0% 14
6 Computer Science, Information Systems 0 1% 0% 3
7 Mathematics, Interdisciplinary Applications -0 0% 0% 2
8 Operations Research & Management Science -1 0% 0% 1
9 Engineering, General -1 0% 0% 1
10 Computer Science, Interdisciplinary Applications -1 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 LEHRSTUHL OPERAT WIRT AFTSINFORMAT 143694 0% 100% 2
2 FAK MATH WISSEN 71847 0% 100% 1
3 KATEDRA MATEMAT DYSKRETNEJ 71847 0% 100% 1
4 LRI UA 410 CNRS 71847 0% 100% 1
5 MATH MATH STUDIES 71847 0% 100% 1
6 URA 410 CNRS 46183 1% 21% 3
7 DISCRETE MATH 42289 4% 4% 15
8 CMA UNL 35923 0% 50% 1
9 EPFL SB IMB DCG 35923 0% 50% 1
10 HEWLETT PACKARD 23948 0% 33% 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 DISCRETE MATHEMATICS 90178 28% 1% 121
2 JOURNAL OF GRAPH THEORY 60071 11% 2% 46
3 GRAPHS AND COMBINATORICS 56311 9% 2% 39
4 JOURNAL OF COMBINATORIAL THEORY SERIES B 26561 7% 1% 29
5 COMBINATORICS PROBABILITY & COMPUTING 25545 4% 2% 18
6 SIAM JOURNAL ON DISCRETE MATHEMATICS 14027 5% 1% 20
7 COMBINATORICA 12016 4% 1% 15
8 DISCUSSIONES MATHEMATICAE GRAPH THEORY 10310 2% 2% 7
9 ARS COMBINATORIA 9380 5% 1% 22
10 EUROPEAN JOURNAL OF COMBINATORICS 5969 4% 1% 16

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 BLOW UP LEMMA 718470 2% 100% 10 Search BLOW+UP+LEMMA Search BLOW+UP+LEMMA
2 ABSORBING METHOD 653153 2% 91% 10 Search ABSORBING+METHOD Search ABSORBING+METHOD
3 VERTEX DISJOINT 653153 2% 91% 10 Search VERTEX+DISJOINT Search VERTEX+DISJOINT
4 VERTEX DISJOINT CYCLES 527908 3% 57% 13 Search VERTEX+DISJOINT+CYCLES Search VERTEX+DISJOINT+CYCLES
5 CHORDED CYCLES 440061 2% 88% 7 Search CHORDED+CYCLES Search CHORDED+CYCLES
6 PACKING OF GRAPHS 431082 1% 100% 6 Search PACKING+OF+GRAPHS Search PACKING+OF+GRAPHS
7 REGULARITY LEMMA 422266 5% 26% 23 Search REGULARITY+LEMMA Search REGULARITY+LEMMA
8 GRAPH PACKING 337265 3% 36% 13 Search GRAPH+PACKING Search GRAPH+PACKING
9 CYCLE COVERINGS 287388 1% 100% 4 Search CYCLE+COVERINGS Search CYCLE+COVERINGS
10 PACKING GRAPHS 287388 1% 100% 4 Search PACKING+GRAPHS Search PACKING+GRAPHS

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 HAN, J , ZHAO, Y , (2015) MINIMUM VERTEX DEGREE THRESHOLD FOR LOOSE HAMILTON CYCLES IN 3-UNIFORM HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 114. ISSUE . P. 70 -96 22 100% 2
2 MYCROFT, R , (2016) PACKING K-PARTITE K-UNIFORM HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 138. ISSUE . P. 60 -132 23 85% 1
3 BOTTCHER, J , HEINIG, P , TARAZ, A , (2010) EMBEDDING INTO BIPARTITE GRAPHS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 24. ISSUE 4. P. 1215-1233 26 90% 1
4 HAN, J , ZHAO, Y , (2016) FORBIDDING HAMILTON CYCLES IN UNIFORM HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 143. ISSUE . P. 107 -115 20 100% 0
5 HAN, J , (2016) NEAR PERFECT MATCHINGS IN K-UNIFORM HYPERGRAPHS II.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 30. ISSUE 3. P. 1453 -1469 20 100% 0
6 BOTTCHER, J , SCHACHT, M , TARAZ, A , (2008) SPANNING 3-COLOURABLE SUBGRAPHS OF SMALL BANDWIDTH IN DENSE GRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 98. ISSUE 4. P. 752-777 22 96% 1
7 KHAN, I , (2016) PERFECT MATCHINGS IN 4-UNIFORM HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 116. ISSUE . P. 333 -366 13 100% 4
8 RODL, V , RUCINSKI, A , (2014) FAMILIES OF TRIPLES WITH HIGH MINIMUM DEGREE ARE HAMILTONIAN.DISCUSSIONES MATHEMATICAE GRAPH THEORY. VOL. 34. ISSUE 2. P. 361 -381 17 100% 2
9 BOTTCHER, J , SCHACHT, M , TARAZ, A , (2009) PROOF OF THE BANDWIDTH CONJECTURE OF BOLLOBAS AND KOMLOS.MATHEMATISCHE ANNALEN. VOL. 343. ISSUE 1. P. 175 -205 17 100% 7
10 LENZ, J , MUBAYI, D , (2016) PERFECT PACKINGS IN QUASIRANDOM HYPERGRAPHS I.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 119. ISSUE . P. 155 -177 19 76% 0

Classes with closest relation at Level 1


Rank Class id link
1 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY
2 25715 EQUITABLE COLORING//CHROMATIC SCHEDULING//EQUITABLE CHROMATIC NUMBER
3 22883 HADWIGERS CONJECTURE//K LINKED GRAPH//K ORDERED GRAPH
4 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY
5 9576 CLAW FREE GRAPH//HAMILTONIAN GRAPH//COLLAPSIBLE GRAPH
6 32479 SATURATED GRAPHS//MINIMAL REDUCIBLE BOUND//MAXIMAL NONTRACEABLE
7 37371 ISOMORPHIC FACTORS//PL MATH FEI//ALMOST COMPLETE TRIPARTITE GRAPH
8 13659 RANDOM STRUCTURES & ALGORITHMS//RANDOM GRAPHS//POSITIONAL GAMES
9 14305 MULTIPARTITE TOURNAMENTS//KERNEL BY MONOCHROMATIC PATHS//HYPERTOURNAMENT
10 15416 A B FACTOR//FRACTIONAL K FACTOR//G F FACTOR

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