Class information for:
Level 1: COMPETITION GRAPH//COMPETITION NUMBER//EDGE CLIQUE COVER

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
28767 200 13.2 38%



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
276 3       FUZZY SETS AND SYSTEMS//ALGEBRA UNIVERSALIS//ROUGH SETS 43335
3129 2             SOFT SET//SOFT SETS//FUZZY IDEAL 2275
28767 1                   COMPETITION GRAPH//COMPETITION NUMBER//EDGE CLIQUE COVER 200

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 COMPETITION GRAPH authKW 8740171 31% 94% 61
2 COMPETITION NUMBER authKW 4885668 16% 100% 32
3 EDGE CLIQUE COVER authKW 1124256 5% 82% 9
4 COMPETITION HYPERGRAPH authKW 916063 3% 100% 6
5 UPPER BOUND GRAPHS authKW 785195 3% 86% 6
6 DOUBLY PARTIAL ORDER authKW 763386 3% 100% 5
7 NICHE GRAPH authKW 763386 3% 100% 5
8 DOMINATION GRAPH authKW 687044 3% 75% 6
9 DOUBLE BOUND GRAPH authKW 610709 2% 100% 4
10 M STEP COMPETITION GRAPH authKW 477112 3% 63% 5

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 3907 60% 0% 120
2 Mathematics, Applied 2282 43% 0% 85
3 Statistics & Probability 41 4% 0% 8
4 Logic 9 1% 0% 1
5 Computer Science, Software Engineering 8 2% 0% 4
6 Computer Science, Interdisciplinary Applications 5 2% 0% 4
7 Computer Science, Theory & Methods 4 2% 0% 4
8 Social Sciences, Mathematical Methods 2 1% 0% 1
9 Mathematics, Interdisciplinary Applications 1 1% 0% 2
10 Mathematical & Computational Biology 0 1% 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 MATH DIMACS 152677 1% 100% 1
2 MATH EDUC 48702 14% 1% 28
3 DIMACS 42982 4% 4% 7
4 ENGN INFORMAT SYST 37770 4% 4% 7
5 POHANG MATH 19909 2% 4% 3
6 TAIPEI OFF 16751 2% 4% 3
7 BIOCHIP PROJECT TEAM 13878 1% 9% 1
8 LEHRSTUHL MATH 2 13336 3% 2% 5
9 TAIDA MATH SCI 12715 2% 2% 4
10 FOR DISKRETE MATH 10904 1% 7% 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 APPLIED MATHEMATICS 45338 22% 1% 44
2 ARS COMBINATORIA 39701 16% 1% 31
3 DISCUSSIONES MATHEMATICAE GRAPH THEORY 16107 3% 2% 6
4 DISCRETE MATHEMATICS 16006 18% 0% 35
5 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 8567 3% 1% 5
6 UTILITAS MATHEMATICA 5910 4% 0% 8
7 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 3175 2% 1% 3
8 JOURNAL OF GRAPH THEORY 2947 4% 0% 7
9 ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 2508 2% 0% 4
10 GRAPHS AND COMBINATORICS 1960 3% 0% 5

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 COMPETITION GRAPH 8740171 31% 94% 61 Search COMPETITION+GRAPH Search COMPETITION+GRAPH
2 COMPETITION NUMBER 4885668 16% 100% 32 Search COMPETITION+NUMBER Search COMPETITION+NUMBER
3 EDGE CLIQUE COVER 1124256 5% 82% 9 Search EDGE+CLIQUE+COVER Search EDGE+CLIQUE+COVER
4 COMPETITION HYPERGRAPH 916063 3% 100% 6 Search COMPETITION+HYPERGRAPH Search COMPETITION+HYPERGRAPH
5 UPPER BOUND GRAPHS 785195 3% 86% 6 Search UPPER+BOUND+GRAPHS Search UPPER+BOUND+GRAPHS
6 DOUBLY PARTIAL ORDER 763386 3% 100% 5 Search DOUBLY+PARTIAL+ORDER Search DOUBLY+PARTIAL+ORDER
7 NICHE GRAPH 763386 3% 100% 5 Search NICHE+GRAPH Search NICHE+GRAPH
8 DOMINATION GRAPH 687044 3% 75% 6 Search DOMINATION+GRAPH Search DOMINATION+GRAPH
9 DOUBLE BOUND GRAPH 610709 2% 100% 4 Search DOUBLE+BOUND+GRAPH Search DOUBLE+BOUND+GRAPH
10 M STEP COMPETITION GRAPH 477112 3% 63% 5 Search M+STEP+COMPETITION+GRAPH Search M+STEP+COMPETITION+GRAPH

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 GARSKE, C , SONNTAG, M , TEICHERT, HM , (2016) NICHE HYPERGRAPHS.DISCUSSIONES MATHEMATICAE GRAPH THEORY. VOL. 36. ISSUE 4. P. 819 -832 30 100% 0
2 PARK, B , SANO, Y , (2013) THE PHYLOGENY GRAPHS OF DOUBLY PARTIAL ORDERS.DISCUSSIONES MATHEMATICAE GRAPH THEORY. VOL. 33. ISSUE 4. P. 657 -664 16 100% 0
3 KIM, SR , LEE, JY , PARK, B , SANO, Y , (2014) THE COMPETITION HYPERGRAPHS OF DOUBLY PARTIAL ORDERS.DISCRETE APPLIED MATHEMATICS. VOL. 165. ISSUE . P. 185 -191 15 100% 1
4 KIM, SR , LEE, JY , PARK, B , SANO, Y , (2015) A GENERALIZATION OF OPSUT'S RESULT ON THE COMPETITION NUMBERS OF LINE GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 181. ISSUE . P. 152 -159 14 88% 1
5 LI, BJ , CHANG, GJ , (2012) COMPETITION NUMBERS OF COMPLETE R-PARTITE GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 160. ISSUE 15. P. 2271-2276 13 100% 2
6 MCKAY, BD , SCHWEITZER, P , SCHWEITZER, P , (2014) COMPETITION NUMBERS, QUASI-LINE GRAPHS, AND HOLES.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 28. ISSUE 1. P. 77-91 12 100% 3
7 SANO, Y , (2013) A GENERALIZATION OF OPSUT'S LOWER BOUNDS FOR THE COMPETITION NUMBER OF A GRAPH.GRAPHS AND COMBINATORICS. VOL. 29. ISSUE 5. P. 1543-1547 12 100% 0
8 PARK, B , LEE, JY , KIM, SR , (2011) THE M-STEP COMPETITION GRAPHS OF DOUBLY PARTIAL ORDERS.APPLIED MATHEMATICS LETTERS. VOL. 24. ISSUE 6. P. 811-816 11 100% 0
9 KIM, SR , LEE, JY , PARK, B , SANO, Y , (2012) THE COMPETITION NUMBER OF A GRAPH AND THE DIMENSION OF ITS HOLE SPACE.APPLIED MATHEMATICS LETTERS. VOL. 25. ISSUE 3. P. 638-642 10 100% 1
10 PARK, B , SANO, Y , (2011) THE COMPETITION NUMBERS OF HAMMING GRAPHS WITH DIAMETER AT MOST THREE.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 4. P. 691-702 10 100% 2

Classes with closest relation at Level 1



Rank Class id link
1 22363 CLIQUE GRAPHS//ITERATED CLIQUE GRAPHS//CLIQUE DIVERGENCE
2 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
3 29787 VAGUE GRAPH//BIPOLAR FUZZY GRAPHS//STRONG ARC
4 32171 CIRCLE ORDER//GEOMETRIC CONTAINMENT//SPHERE CONTAINMENT ORDER
5 23769 MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR
6 22128 DEGREE SEQUENCE//BOXICITY//CUBICITY
7 29568 IDENTIFYING CODES//LOCATING DOMINATING CODES//TWIN FREE GRAPHS
8 23786 SEMIORDER//TOTAL PREORDERS//DIPARTIMENTO MATEMAT PLICATA BRUNO DE FINETTI
9 2776 PERFECT GRAPHS//INTERVAL GRAPHS//CIRCULAR ARC GRAPHS
10 20397 BOOTSTRAP PERCOLATION//FEEDBACK VERTEX SET//DYNAMIC MONOPOLIES

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