Class information for:
Level 1: CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14483 767 15.9 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
1441 2             GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER 7841
14483 1                   CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS 767

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 CHROMATIC POLYNOMIAL authKW 1622478 11% 46% 88
2 TUTTE POLYNOMIAL authKW 1231100 9% 44% 71
3 CHROMATIC UNIQUENESS authKW 857968 3% 86% 25
4 INDEPENDENCE POLYNOMIAL authKW 713623 3% 81% 22
5 DOMINATION POLYNOMIAL authKW 559827 2% 94% 15
6 INTERLACE POLYNOMIAL authKW 398100 1% 100% 10
7 ADJOINT POLYNOMIAL authKW 382171 2% 80% 12
8 CHROMATICALLY UNIQUE authKW 358290 1% 100% 9
9 CHROMATICALLY EQUIVALENT authKW 278670 1% 100% 7
10 K 4 HOMEOMORPH authKW 278670 1% 100% 7

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 30606 85% 0% 652
2 Mathematics, Applied 1902 21% 0% 158
3 Computer Science, Theory & Methods 368 7% 0% 51
4 Statistics & Probability 198 4% 0% 34
5 Logic 7 0% 0% 2
6 Computer Science, Software Engineering 2 1% 0% 7
7 Mathematics, Interdisciplinary Applications 0 1% 0% 4
8 Computer Science, Artificial Intelligence -0 1% 0% 5
9 Imaging Science & Photographic Technology -0 0% 0% 1
10 Engineering, Industrial -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 FUNDAMENTAL SCI MATH 254781 1% 80% 8
2 MATH SCI COMP SCI 81269 1% 29% 7
3 IT QUANTITAT SCI 79620 0% 100% 2
4 STRUCT DISCRETES 53079 0% 67% 2
5 CASE 189 COMBINATOIRE OPTIMISAT 39810 0% 100% 1
6 IT QUANTAT SCI 39810 0% 100% 1
7 IT QUANTITAT SC 39810 0% 100% 1
8 MATEMAT NUCL COMP ELECT 39810 0% 100% 1
9 MATH MATH GRP 39810 0% 100% 1
10 RECH INFORMAT COMBINATOIRE 39810 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 DISCRETE MATHEMATICS 121861 25% 2% 189
2 JOURNAL OF COMBINATORIAL THEORY SERIES B 56868 7% 3% 57
3 EUROPEAN JOURNAL OF COMBINATORICS 39183 7% 2% 55
4 COMBINATORICS PROBABILITY & COMPUTING 31839 4% 3% 27
5 JOURNAL OF GRAPH THEORY 20346 5% 1% 36
6 GRAPHS AND COMBINATORICS 16050 4% 1% 28
7 ADVANCES IN APPLIED MATHEMATICS 15932 3% 2% 24
8 ARS COMBINATORIA 15504 5% 1% 38
9 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 14467 3% 1% 25
10 ELECTRONIC JOURNAL OF COMBINATORICS 13410 4% 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 CHROMATIC POLYNOMIAL 1622478 11% 46% 88 Search CHROMATIC+POLYNOMIAL Search CHROMATIC+POLYNOMIAL
2 TUTTE POLYNOMIAL 1231100 9% 44% 71 Search TUTTE+POLYNOMIAL Search TUTTE+POLYNOMIAL
3 CHROMATIC UNIQUENESS 857968 3% 86% 25 Search CHROMATIC+UNIQUENESS Search CHROMATIC+UNIQUENESS
4 INDEPENDENCE POLYNOMIAL 713623 3% 81% 22 Search INDEPENDENCE+POLYNOMIAL Search INDEPENDENCE+POLYNOMIAL
5 DOMINATION POLYNOMIAL 559827 2% 94% 15 Search DOMINATION+POLYNOMIAL Search DOMINATION+POLYNOMIAL
6 INTERLACE POLYNOMIAL 398100 1% 100% 10 Search INTERLACE+POLYNOMIAL Search INTERLACE+POLYNOMIAL
7 ADJOINT POLYNOMIAL 382171 2% 80% 12 Search ADJOINT+POLYNOMIAL Search ADJOINT+POLYNOMIAL
8 CHROMATICALLY UNIQUE 358290 1% 100% 9 Search CHROMATICALLY+UNIQUE Search CHROMATICALLY+UNIQUE
9 CHROMATICALLY EQUIVALENT 278670 1% 100% 7 Search CHROMATICALLY+EQUIVALENT Search CHROMATICALLY+EQUIVALENT
10 K 4 HOMEOMORPH 278670 1% 100% 7 Search K+4+HOMEOMORPH Search K+4+HOMEOMORPH

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 TRALDI, L , (2015) THE TRANSITION MATROID OF A 4-REGULAR GRAPH: AN INTRODUCTION.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 50. ISSUE . P. 180 -207 38 81% 0
2 TRALDI, L , (2013) ON THE INTERLACE POLYNOMIALS.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 103. ISSUE 1. P. 184-208 37 79% 0
3 TRALDI, L , (2012) ON THE LINEAR ALGEBRA OF LOCAL COMPLEMENTATION.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 5. P. 1072-1089 24 92% 1
4 TRALDI, L , (2014) INTERLACEMENT IN 4-REGULAR GRAPHS: A NEW APPROACH USING NONSYMMETRIC MATRICES.CONTRIBUTIONS TO DISCRETE MATHEMATICS. VOL. 9. ISSUE 1. P. 85 -97 23 92% 0
5 BRIJDER, R , TRALDI, L , (2016) ISOTROPIC MATROIDS II: CIRCLE GRAPHS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 23. ISSUE 4. P. - 21 84% 0
6 ELLIS-MONAGHAN, JA , SARMIENTO, I , (2007) DISTANCE HEREDITARY GRAPHS AND THE INTERLACE POLYNOMIAL.COMBINATORICS PROBABILITY & COMPUTING. VOL. 16. ISSUE 6. P. 947 -973 27 77% 11
7 TRALDI, L , (2015) BINARY MATROIDS AND LOCAL COMPLEMENTATION.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 45. ISSUE . P. 21 -40 20 87% 0
8 KOH, KM , TEO, KL , (1997) THE SEARCH FOR CHROMATICALLY UNIQUE GRAPHS .2..DISCRETE MATHEMATICS. VOL. 172. ISSUE 1-3. P. 59 -78 28 97% 33
9 BRIJDER, R , HOOGEBOOM, HJ , (2014) INTERLACE POLYNOMIALS FOR MULTIMATROIDS AND DELTA-MATROIDS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 40. ISSUE . P. 142-167 19 90% 1
10 ELLIS-MONAGHAN, J , MOFFATT, I , (2015) EVALUATIONS OF TOPOLOGICAL TUTTE POLYNOMIALS.COMBINATORICS PROBABILITY & COMPUTING. VOL. 24. ISSUE 3. P. 556 -583 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 12038 BINARY MATROID//CONTRACTIBLE EDGE//MATROID
2 27327 CIRCUIT GRAPH OF MATROID//EXPECTED RANK//PATH LAYER MATRIX
3 8528 PARTITION FUNCTION ZEROS//ANTIFERROMAGNETIC POTTS MODEL//POTTS MODEL
4 2351 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VASSILIEV INVARIANTS//JONES POLYNOMIAL
5 37526 DEPENDENT ARC//FULL ORIENTABILITY//EDGE FIRING GAME
6 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
7 21060 CHIP FIRING//SEQUENTIAL DYNAMICAL SYSTEMS//CHIP FIRING GAME
8 13819 VIRTUAL KNOT//QUANDLE//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
9 28049 PROBABILITY BOUNDS//BIVARIATE BINOMIAL MOMENTS//DISCRETE MOMENT PROBLEM
10 12903 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY

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