Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 12038 | 936 | 13.3 | 38% |
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 |
| 1441 | 2 | GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER | 7841 |
| 12038 | 1 | BINARY MATROID//CONTRACTIBLE EDGE//MATROID | 936 |
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 | BINARY MATROID | authKW | 837710 | 5% | 60% | 43 |
| 2 | CONTRACTIBLE EDGE | authKW | 831353 | 3% | 88% | 29 |
| 3 | MATROID | authKW | 706402 | 12% | 19% | 114 |
| 4 | JOURNAL OF COMBINATORIAL THEORY SERIES B | journal | 419901 | 18% | 8% | 171 |
| 5 | SPLITTER THEOREM | authKW | 367535 | 1% | 87% | 13 |
| 6 | INTERNALLY 4 CONNECTED | authKW | 361347 | 1% | 92% | 12 |
| 7 | BIASED GRAPH | authKW | 358839 | 1% | 100% | 11 |
| 8 | 3 CONNECTED MATROID | authKW | 293596 | 1% | 100% | 9 |
| 9 | CHAIN THEOREM | authKW | 293596 | 1% | 100% | 9 |
| 10 | EXCLUDED MINORS | authKW | 290154 | 1% | 68% | 13 |
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 | 30797 | 77% | 0% | 724 |
| 2 | Mathematics, Applied | 2431 | 21% | 0% | 197 |
| 3 | Computer Science, Theory & Methods | 142 | 4% | 0% | 38 |
| 4 | Operations Research & Management Science | 50 | 2% | 0% | 20 |
| 5 | Statistics & Probability | 45 | 2% | 0% | 21 |
| 6 | Computer Science, Software Engineering | 14 | 1% | 0% | 13 |
| 7 | Mathematics, Interdisciplinary Applications | 4 | 1% | 0% | 9 |
| 8 | Computer Science, Hardware & Architecture | 2 | 1% | 0% | 5 |
| 9 | Multidisciplinary Sciences | 1 | 0% | 0% | 4 |
| 10 | Automation & Control Systems | 0 | 1% | 0% | 5 |
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 STAT OPERAT | 103362 | 3% | 10% | 32 |
| 2 | COMBINATOR OPTIMIZAT | 88912 | 6% | 5% | 52 |
| 3 | MATH STAT PROGRAM | 52190 | 0% | 40% | 4 |
| 4 | CHOFUGAO KU | 32622 | 0% | 100% | 1 |
| 5 | COIMBINATOR | 32622 | 0% | 100% | 1 |
| 6 | JST ERATO KAWARABAYASHI LARGE GR H PROJECT | 32622 | 0% | 100% | 1 |
| 7 | MEASUREMENT SYST DEV | 32622 | 0% | 100% | 1 |
| 8 | SRC IIIDMS | 32622 | 0% | 100% | 1 |
| 9 | TEXAS STATE MATHWORKS | 32622 | 0% | 100% | 1 |
| 10 | UNIDADE MATEMAT ESTATISTICA | 32622 | 0% | 100% | 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 | 419901 | 18% | 8% | 171 |
| 2 | DISCRETE MATHEMATICS | 81655 | 18% | 1% | 171 |
| 3 | JOURNAL OF GRAPH THEORY | 57819 | 7% | 3% | 67 |
| 4 | EUROPEAN JOURNAL OF COMBINATORICS | 42120 | 7% | 2% | 63 |
| 5 | ADVANCES IN APPLIED MATHEMATICS | 41950 | 5% | 3% | 43 |
| 6 | GRAPHS AND COMBINATORICS | 33998 | 5% | 2% | 45 |
| 7 | ANNALS OF COMBINATORICS | 32880 | 2% | 5% | 21 |
| 8 | COMBINATORICA | 28034 | 4% | 3% | 34 |
| 9 | COMBINATORICS PROBABILITY & COMPUTING | 14300 | 2% | 2% | 20 |
| 10 | SIAM JOURNAL ON DISCRETE MATHEMATICS | 13372 | 3% | 1% | 29 |
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 | BINARY MATROID | 837710 | 5% | 60% | 43 | Search BINARY+MATROID | Search BINARY+MATROID |
| 2 | CONTRACTIBLE EDGE | 831353 | 3% | 88% | 29 | Search CONTRACTIBLE+EDGE | Search CONTRACTIBLE+EDGE |
| 3 | MATROID | 706402 | 12% | 19% | 114 | Search MATROID | Search MATROID |
| 4 | SPLITTER THEOREM | 367535 | 1% | 87% | 13 | Search SPLITTER+THEOREM | Search SPLITTER+THEOREM |
| 5 | INTERNALLY 4 CONNECTED | 361347 | 1% | 92% | 12 | Search INTERNALLY+4+CONNECTED | Search INTERNALLY+4+CONNECTED |
| 6 | BIASED GRAPH | 358839 | 1% | 100% | 11 | Search BIASED+GRAPH | Search BIASED+GRAPH |
| 7 | 3 CONNECTED MATROID | 293596 | 1% | 100% | 9 | Search 3+CONNECTED+MATROID | Search 3+CONNECTED+MATROID |
| 8 | CHAIN THEOREM | 293596 | 1% | 100% | 9 | Search CHAIN+THEOREM | Search CHAIN+THEOREM |
| 9 | EXCLUDED MINORS | 290154 | 1% | 68% | 13 | Search EXCLUDED+MINORS | Search EXCLUDED+MINORS |
| 10 | 3 CONNECTED | 271835 | 2% | 56% | 15 | Search 3+CONNECTED | Search 3+CONNECTED |
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 | MAYHEW, D , WHITTLE, G , VAN ZWAM, SHM , (2012) STABILITY, FRAGILITY, AND ROTA'S CONJECTURE.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 102. ISSUE 3. P. 760-783 | 24 | 100% | 2 |
| 2 | GEELEN, J , WHITTLE, G , (2013) INEQUIVALENT REPRESENTATIONS OF MATROIDS OVER PRIME FIELDS.ADVANCES IN APPLIED MATHEMATICS. VOL. 51. ISSUE 1. P. 1-175 | 22 | 96% | 4 |
| 3 | KRIESELL, M , (2002) A SURVEY ON CONTRACTIBLE EDGES IN GRAPHS OF A PRESCRIBED VERTEX CONNECTIVITY.GRAPHS AND COMBINATORICS. VOL. 18. ISSUE 1. P. 1 -30 | 28 | 93% | 28 |
| 4 | OXLEY, J , SEMPLE, C , WHITTLE, G , (2012) AN UPGRADED WHEELS-AND-WHIRLS THEOREM FOR 3-CONNECTED MATROIDS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 102. ISSUE 3. P. 610-637 | 17 | 100% | 3 |
| 5 | NEUDAUER, NA , SLILATY, D , (2017) BOUNDING AND STABILIZING REALIZATIONS OF BIASED GRAPHS WITH A FIXED GROUP.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 122. ISSUE . P. 149 -166 | 15 | 100% | 0 |
| 6 | PENDAVINGH, RA , VAN ZWAM, SHM , (2010) CONFINEMENT OF MATROID REPRESENTATIONS TO SUBSETS OF PARTIAL FIELDS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 100. ISSUE 6. P. 510-545 | 16 | 100% | 5 |
| 7 | OXLEY, J , WU, HD , (2000) ON THE STRUCTURE OF 3-CONNECTED MATROIDS AND GRAPHS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 21. ISSUE 5. P. 667 -688 | 21 | 100% | 18 |
| 8 | CHUN, D , MOSS, T , SLILATY, D , ZHOU, XQ , (2016) BICIRCULAR MATROIDS REPRESENTABLE OVER GF(4) OR GF(5).DISCRETE MATHEMATICS. VOL. 339. ISSUE 9. P. 2239 -2248 | 14 | 100% | 0 |
| 9 | MAYHEW, D , ROYLE, G , WHITTLE, G , (2010) THE INTERNALLY 4-CONNECTED BINARY MATROIDS WITH NO M(K-3,K-3)-MINOR.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 208. ISSUE 981. P. 1 -+ | 16 | 100% | 0 |
| 10 | SU, JJ , GUO, XF , XU, LQ , (2009) REMOVABLE EDGES IN A K-CONNECTED GRAPH AND A CONSTRUCTION METHOD FOR K-CONNECTED GRAPHS.DISCRETE MATHEMATICS. VOL. 309. ISSUE 10. P. 3161-3165 | 17 | 94% | 4 |
Classes with closest relation at Level 1 |