Class information for:
Level 1: CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19064 524 13.7 45%


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
19064 1                   CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER 524

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 CIRCULAR CHROMATIC NUMBER authKW 2784206 11% 84% 57
2 CIRCULAR COLORING authKW 914618 4% 83% 19
3 PACKING CHROMATIC NUMBER authKW 874087 3% 100% 15
4 DISTANCE GRAPH authKW 699234 6% 40% 30
5 TOEPLITZ GRAPH authKW 656533 2% 87% 13
6 DYNAMIC COLORING authKW 582725 2% 100% 10
7 LOCAL CHROMATIC NUMBER authKW 542379 2% 85% 11
8 CIRCULAR CHROMATIC INDEX authKW 524452 2% 100% 9
9 FRACTIONAL CHROMATIC NUMBER authKW 513939 4% 42% 21
10 VERTEX ARBORICITY authKW 493595 2% 71% 12

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 18814 81% 0% 423
2 Mathematics, Applied 1631 23% 0% 120
3 Statistics & Probability 12 2% 0% 9
4 Computer Science, Theory & Methods 10 2% 0% 10
5 Operations Research & Management Science 4 1% 0% 6
6 Computer Science, Software Engineering 4 1% 0% 6
7 Computer Science, Hardware & Architecture 3 1% 0% 4
8 Computer Science, Interdisciplinary Applications 1 1% 0% 6
9 Computer Science, Information Systems 0 1% 0% 4
10 Automation & Control Systems -0 0% 0% 2

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 ARMAMENT RD 58272 0% 100% 1
2 DEP MATEMAT LICADA CC COMP 58272 0% 100% 1
3 INFORMAT B T 58272 0% 100% 1
4 INFORMAT TOKYO 58272 0% 100% 1
5 RI COURS LIBERAT 351 58272 0% 100% 1
6 INRIA SUD OUEST 38846 0% 33% 2
7 CHAIRE RECH OPERATIONNELLE SUD EST 29135 0% 50% 1
8 DEP MATEMAT ESTADIST COMP 29135 0% 50% 1
9 LIBR 29135 0% 50% 1
10 MASCOTTE 13S 29135 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 136573 15% 3% 77
2 DISCRETE MATHEMATICS 68334 22% 1% 117
3 JOURNAL OF COMBINATORIAL THEORY SERIES B 26224 6% 1% 32
4 DISCRETE APPLIED MATHEMATICS 14249 8% 1% 40
5 ARS COMBINATORIA 13224 6% 1% 29
6 GRAPHS AND COMBINATORICS 10817 4% 1% 19
7 ELECTRONIC JOURNAL OF COMBINATORICS 9336 4% 1% 20
8 COMBINATORICA 8483 3% 1% 14
9 EUROPEAN JOURNAL OF COMBINATORICS 6124 3% 1% 18
10 SIAM JOURNAL ON DISCRETE MATHEMATICS 4083 2% 1% 12

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 CIRCULAR CHROMATIC NUMBER 2784206 11% 84% 57 Search CIRCULAR+CHROMATIC+NUMBER Search CIRCULAR+CHROMATIC+NUMBER
2 CIRCULAR COLORING 914618 4% 83% 19 Search CIRCULAR+COLORING Search CIRCULAR+COLORING
3 PACKING CHROMATIC NUMBER 874087 3% 100% 15 Search PACKING+CHROMATIC+NUMBER Search PACKING+CHROMATIC+NUMBER
4 DISTANCE GRAPH 699234 6% 40% 30 Search DISTANCE+GRAPH Search DISTANCE+GRAPH
5 TOEPLITZ GRAPH 656533 2% 87% 13 Search TOEPLITZ+GRAPH Search TOEPLITZ+GRAPH
6 DYNAMIC COLORING 582725 2% 100% 10 Search DYNAMIC+COLORING Search DYNAMIC+COLORING
7 LOCAL CHROMATIC NUMBER 542379 2% 85% 11 Search LOCAL+CHROMATIC+NUMBER Search LOCAL+CHROMATIC+NUMBER
8 CIRCULAR CHROMATIC INDEX 524452 2% 100% 9 Search CIRCULAR+CHROMATIC+INDEX Search CIRCULAR+CHROMATIC+INDEX
9 FRACTIONAL CHROMATIC NUMBER 513939 4% 42% 21 Search FRACTIONAL+CHROMATIC+NUMBER Search FRACTIONAL+CHROMATIC+NUMBER
10 VERTEX ARBORICITY 493595 2% 71% 12 Search VERTEX+ARBORICITY Search VERTEX+ARBORICITY

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 LIU, DDF , (2008) FROM RAINBOW TO THE LONELY RUNNER: A SURVEY ON COLORING PARAMETERS OF DISTANCE GRAPHS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 12. ISSUE 4. P. 851 -871 28 97% 4
2 ZHU, XD , (2001) CIRCULAR CHROMATIC NUMBER: A SURVEY.DISCRETE MATHEMATICS. VOL. 229. ISSUE 1-3. P. 371-410 35 73% 150
3 LIU, DDF , SUTEDJA, A , (2013) CHROMATIC NUMBER OF DISTANCE GRAPHS GENERATED BY THE SETS {2,3,X,Y}.JOURNAL OF COMBINATORIAL OPTIMIZATION. VOL. 25. ISSUE 4. P. 680-693 22 100% 1
4 BARAJAS, J , SERRA, O , (2009) ON THE CHROMATIC NUMBER OF CIRCULANT GRAPHS.DISCRETE MATHEMATICS. VOL. 309. ISSUE 18. P. 5687-5696 24 89% 7
5 LIN, CY , WONG, TL , ZHU, XD , (2015) CIRCULAR CHROMATIC INDICES OF EVEN DEGREE REGULAR GRAPHS.DISCRETE MATHEMATICS. VOL. 338. ISSUE 7. P. 1154 -1162 18 100% 0
6 BRESAR, B , KLAVZAR, S , RALL, DF , WASH, K , (2017) PACKING CHROMATIC NUMBER, (1,1,2,2)-COLORINGS, AND CHARACTERIZING THE PETERSEN GRAPH.AEQUATIONES MATHEMATICAE. VOL. 91. ISSUE 1. P. 169 -184 18 90% 0
7 ALISHAHI, M , HAJIABOLHASSAN, H , (2015) ON THE CHROMATIC NUMBER OF GENERAL KNESER HYPERGRAPHS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 115. ISSUE . P. 186 -209 19 86% 0
8 LAM, PCB , LIN, WS , (2005) COLORING OF DISTANCE GRAPHS WITH INTERVALS AS DISTANCE SETS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 26. ISSUE 8. P. 1216 -1229 20 100% 5
9 LIU, DDF , ZHU, XD , (2016) A COMBINATORIAL PROOF FOR THE CIRCULAR CHROMATIC NUMBER OF KNESER GRAPHS.JOURNAL OF COMBINATORIAL OPTIMIZATION. VOL. 32. ISSUE 3. P. 765 -774 16 94% 0
10 CHEN, PA , (2015) ON THE MULTICHROMATIC NUMBER OF S-STABLE KNESER GRAPHS.JOURNAL OF GRAPH THEORY. VOL. 79. ISSUE 3. P. 233 -248 17 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 9477 CHOOSABILITY//LIST COLORING//TOTAL COLORING
2 14188 L2 1 LABELING//FREQUENCY ASSIGNMENT//CHANNEL ASSIGNMENT PROBLEM
3 11140 CONSTRAINT SATISFACTION PROBLEM//HOLOGRAPHIC ALGORITHMS//DICHOTOMY THEOREM
4 17978 NOWHERE ZERO FLOWS//SNARK//NOWHERE ZERO 3 FLOW
5 30163 FORBIDDEN CONFIGURATIONS//SHATTERED SET//SPERNER CAPACITY
6 12698 INTERSECTING FAMILY//ERDOS KO RADO THEOREM//CROSS INTERSECTING FAMILY
7 37526 DEPENDENT ARC//FULL ORIENTABILITY//EDGE FIRING GAME
8 32479 SATURATED GRAPHS//MINIMAL REDUCIBLE BOUND//MAXIMAL NONTRACEABLE
9 25715 EQUITABLE COLORING//CHROMATIC SCHEDULING//EQUITABLE CHROMATIC NUMBER
10 29944 STRONG CHROMATIC INDEX//INDUCED MATCHING//INCIDENCE COLORING

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