Class information for:
Level 1: CIRCUIT GRAPH OF MATROID//EXPECTED RANK//PATH LAYER MATRIX

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27327 232 13.3 28%


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
27327 1                   CIRCUIT GRAPH OF MATROID//EXPECTED RANK//PATH LAYER MATRIX 232

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 CIRCUIT GRAPH OF MATROID authKW 789708 3% 100% 6
2 EXPECTED RANK authKW 394854 1% 100% 3
3 PATH LAYER MATRIX authKW 394854 1% 100% 3
4 GREEDOID authKW 379361 3% 41% 7
5 ANTIMATROID authKW 376037 4% 29% 10
6 CRITICAL MATROID authKW 263236 1% 100% 2
7 PATH CONGRUENCE authKW 263236 1% 100% 2
8 UNIT INCREASE authKW 263236 1% 100% 2
9 POSET MATROIDS authKW 175489 1% 67% 2
10 PROBABILISTIC GRAPH authKW 150415 2% 29% 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 6833 73% 0% 170
2 Mathematics, Applied 555 20% 0% 47
3 Computer Science, Theory & Methods 51 5% 0% 11
4 Computer Science, Hardware & Architecture 15 2% 0% 4
5 Operations Research & Management Science 13 2% 0% 5
6 Computer Science, Information Systems 1 1% 0% 3
7 Computer Science, Artificial Intelligence 1 1% 0% 3
8 Computer Science, Software Engineering 1 1% 0% 2
9 Engineering, Electrical & Electronic 0 3% 0% 8
10 Computer Science, Interdisciplinary Applications 0 1% 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 GRP CAM 131618 0% 100% 1
2 GRP GTC 131618 0% 100% 1
3 MATEMAT USTAV SAV 131618 0% 100% 1
4 COMBINATORICS 65808 0% 50% 1
5 BUR HUMAN OURCES 43871 0% 33% 1
6 OKONOMETRIE OPERAT 43871 0% 33% 1
7 SYST MANAGEMENT BUNKYO KU 43871 0% 33% 1
8 PROBABIL COMBINATOIRE STAT 16450 0% 13% 1
9 ACCOUNTING LAW 3986 0% 3% 1
10 DIPARTIMENTO MATEMAT U DINI 2477 1% 1% 3

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 29324 22% 0% 51
2 ALGEBRA UNIVERSALIS 10624 5% 1% 12
3 JOURNAL OF GRAPH THEORY 10181 6% 1% 14
4 DISCRETE APPLIED MATHEMATICS 6518 8% 0% 18
5 ADVANCES IN APPLIED MATHEMATICS 4480 3% 0% 7
6 ACTA SCIENTIARUM MATHEMATICARUM 4023 1% 1% 3
7 CZECHOSLOVAK MATHEMATICAL JOURNAL 3745 3% 0% 8
8 JOURNAL OF COMBINATORIAL THEORY SERIES B 3695 3% 0% 8
9 ARS COMBINATORIA 3547 4% 0% 10
10 EUROPEAN JOURNAL OF COMBINATORICS 2732 3% 0% 8

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 CIRCUIT GRAPH OF MATROID 789708 3% 100% 6 Search CIRCUIT+GRAPH+OF+MATROID Search CIRCUIT+GRAPH+OF+MATROID
2 EXPECTED RANK 394854 1% 100% 3 Search EXPECTED+RANK Search EXPECTED+RANK
3 PATH LAYER MATRIX 394854 1% 100% 3 Search PATH+LAYER+MATRIX Search PATH+LAYER+MATRIX
4 GREEDOID 379361 3% 41% 7 Search GREEDOID Search GREEDOID
5 ANTIMATROID 376037 4% 29% 10 Search ANTIMATROID Search ANTIMATROID
6 CRITICAL MATROID 263236 1% 100% 2 Search CRITICAL+MATROID Search CRITICAL+MATROID
7 PATH CONGRUENCE 263236 1% 100% 2 Search PATH+CONGRUENCE Search PATH+CONGRUENCE
8 UNIT INCREASE 263236 1% 100% 2 Search UNIT+INCREASE Search UNIT+INCREASE
9 POSET MATROIDS 175489 1% 67% 2 Search POSET+MATROIDS Search POSET+MATROIDS
10 PROBABILISTIC GRAPH 150415 2% 29% 4 Search PROBABILISTIC+GRAPH Search PROBABILISTIC+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 GORDON, G , (2004) EXPECTED RANK IN ANTIMATROIDS.ADVANCES IN APPLIED MATHEMATICS. VOL. 32. ISSUE 1-2. P. 299-318 9 100% 4
2 FAN, H , LIU, GZ , (2013) PROPERTIES OF HAMILTON CYCLES OF CIRCUIT GRAPHS OF MATROIDS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 8. ISSUE 4. P. 801-809 6 100% 0
3 SANO, Y , (2008) RANK FUNCTIONS OF STRICT CG-MATROIDS.DISCRETE MATHEMATICS. VOL. 308. ISSUE 20. P. 4734 -4744 6 100% 1
4 SANO, Y , (2011) MATROIDS ON CONVEX GEOMETRIES: SUBCLASSES, OPERATIONS, AND OPTIMIZATION.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 47. ISSUE 3. P. 671 -703 7 78% 0
5 XU, JQ , LI, P , LAI, HJ , (2012) THE CONNECTIVITY AND DIAMETER OF SECOND ORDER CIRCUIT GRAPHS OF MATROIDS.GRAPHS AND COMBINATORICS. VOL. 28. ISSUE 5. P. 737-742 5 100% 0
6 EISENSTAT, D , GORDON, G , REDLICH, A , (2008) COMBINATORIAL PROPERTIES OF A ROOTED GRAPH POLYNOMIAL.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 22. ISSUE 2. P. 776 -785 8 67% 0
7 YANG, YS , LIN, XH , CHEN, ZQ , LU, WM , (2003) 4-REGULAR GRAPHS WITHOUT CUT-VERTICES HAVING THE SAME PATH LAYER MATRIX.JOURNAL OF GRAPH THEORY. VOL. 44. ISSUE 4. P. 304-310 6 100% 0
8 OKAMOTO, Y , (2008) LOCAL TOPOLOGY OF THE FREE COMPLEX OF A TWO-DIMENSIONAL GENERALIZED CONVEX SHELLING.DISCRETE MATHEMATICS. VOL. 308. ISSUE 17. P. 3836-3846 6 86% 0
9 DULIO, P , PANNONE, V , (2013) ITERATED JOINING OF ROOTED TREES.GRAPHS AND COMBINATORICS. VOL. 29. ISSUE 5. P. 1287-1304 6 75% 0
10 EISENSTAT, D , FEDER, J , FRANCOS, G , GORDON, G , REDLICH, A , (2008) EXPECTED RANK AND RANDOMNESS IN ROOTED GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 156. ISSUE 5. P. 746-756 5 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 13880 ALGEBRA UNIVERSALIS//CONGRUENCE LATTICE//SEMIMODULAR LATTICE
2 17800 OPPORTUNITY SETS//NONPROBABILISTIC DECISION RULES//SOCIAL CHOICE AND WELFARE
3 14483 CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS
4 30563 ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM
5 30356 SUBMODULAR FUNCTION MAXIMIZATION//MONOTONE LINKAGE FUNCTION//MONOTONE SUBMODULAR SET FUNCTION
6 24909 MONGE PROPERTY//MONGE ARRAYS//MONGE MATRIX
7 37526 DEPENDENT ARC//FULL ORIENTABILITY//EDGE FIRING GAME
8 16180 GRAY CODE//ROTATION DISTANCE//UNIVERSAL CYCLES
9 14302 BASE POLYHEDRON//VALUATED MATROID//SUBMODULAR FUNCTION
10 13072 MEDIAN GRAPH//GEODETIC NUMBER//FIBONACCI CUBE

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