Class information for:
Level 1: MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23769 335 13.4 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2286 2             LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN 4579
23769 1                   MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR 335

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 MATCHING COVERED GRAPHS authKW 729198 2% 100% 8
2 PFAFFIAN ORIENTATION authKW 580471 3% 58% 11
3 RAY NONSINGULAR authKW 546898 2% 100% 6
4 RAY PATTERN authKW 525186 3% 52% 11
5 QUALITATIVE MATRIX THEORY authKW 379789 1% 83% 5
6 PFAFFIAN GRAPHS authKW 291678 1% 80% 4
7 SIGN SOLVABILITY authKW 291678 1% 80% 4
8 SPARSE CIRCULANT MATRIX authKW 291678 1% 80% 4
9 SIGN SOLVABLE authKW 273449 1% 100% 3
10 TIGHT SIGN CENTRAL MATRIX authKW 273449 1% 100% 3

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 8253 67% 0% 225
2 Mathematics, Applied 4377 45% 0% 152
3 Computer Science, Theory & Methods 126 6% 0% 20
4 Operations Research & Management Science 106 4% 0% 15
5 Computer Science, Software Engineering 60 4% 0% 12
6 Logic 50 1% 0% 3
7 Social Sciences, Mathematical Methods 40 1% 0% 5
8 Mathematics, Interdisciplinary Applications 32 3% 0% 9
9 Economics 29 4% 0% 14
10 Statistics & Probability 26 3% 0% 9

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 HOTEL FOOD ADM 205085 1% 75% 3
2 CONTRADA MACCHIA 91150 0% 100% 1
3 PEOPLETOOLS 91150 0% 100% 1
4 THEOR COMP SCI 91150 0% 100% 1
5 FCNRS 45574 0% 50% 1
6 MATH ITS PLICAT IMA 30382 0% 33% 1
7 COMP STAT 29161 1% 8% 4
8 EA 2597 28043 1% 15% 2
9 CMAT MATEMAT 26039 1% 14% 2
10 EQUIPE COMBINATOIRE 23142 1% 6% 4

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 LINEAR ALGEBRA AND ITS APPLICATIONS 52142 24% 1% 81
2 JOURNAL OF COMBINATORIAL THEORY SERIES B 31425 8% 1% 28
3 COMBINATORICA 11453 4% 1% 13
4 ELECTRONIC JOURNAL OF COMBINATORICS 6171 4% 1% 13
5 DISCRETE MATHEMATICS 4847 7% 0% 25
6 DISCRETE APPLIED MATHEMATICS 4503 5% 0% 18
7 JOURNAL OF GRAPH THEORY 2904 3% 0% 9
8 LINEAR & MULTILINEAR ALGEBRA 2482 2% 0% 6
9 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2083 2% 0% 7
10 EUROPEAN JOURNAL OF COMBINATORICS 1887 2% 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 MATCHING COVERED GRAPHS 729198 2% 100% 8 Search MATCHING+COVERED+GRAPHS Search MATCHING+COVERED+GRAPHS
2 PFAFFIAN ORIENTATION 580471 3% 58% 11 Search PFAFFIAN+ORIENTATION Search PFAFFIAN+ORIENTATION
3 RAY NONSINGULAR 546898 2% 100% 6 Search RAY+NONSINGULAR Search RAY+NONSINGULAR
4 RAY PATTERN 525186 3% 52% 11 Search RAY+PATTERN Search RAY+PATTERN
5 QUALITATIVE MATRIX THEORY 379789 1% 83% 5 Search QUALITATIVE+MATRIX+THEORY Search QUALITATIVE+MATRIX+THEORY
6 PFAFFIAN GRAPHS 291678 1% 80% 4 Search PFAFFIAN+GRAPHS Search PFAFFIAN+GRAPHS
7 SIGN SOLVABILITY 291678 1% 80% 4 Search SIGN+SOLVABILITY Search SIGN+SOLVABILITY
8 SPARSE CIRCULANT MATRIX 291678 1% 80% 4 Search SPARSE+CIRCULANT+MATRIX Search SPARSE+CIRCULANT+MATRIX
9 SIGN SOLVABLE 273449 1% 100% 3 Search SIGN+SOLVABLE Search SIGN+SOLVABLE
10 TIGHT SIGN CENTRAL MATRIX 273449 1% 100% 3 Search TIGHT+SIGN+CENTRAL+MATRIX Search TIGHT+SIGN+CENTRAL+MATRIX

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 KAKIMURA, N , (2010) MATCHING STRUCTURE OF SYMMETRIC BIPARTITE GRAPHS AND A GENERALIZATION OF POLYA'S PROBLEM.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 100. ISSUE 6. P. 650-670 13 87% 1
2 LU, FL , ZHANG, LZ , WANG, Y , (2015) THE PFAFFIAN PROPERTY OF CIRCULANT GRAPHS.DISCRETE APPLIED MATHEMATICS. VOL. 181. ISSUE . P. 185 -192 14 67% 0
3 ABREU, M , LABBATE, D , RIZZI, R , SHEEHAN, J , (2014) ODD 2-FACTORED SNARKS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 36. ISSUE . P. 460-472 13 72% 1
4 PAFFENHOLZ, A , (2015) FACES OF BIRKHOFF POLYTOPES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 22. ISSUE 1. P. - 13 68% 0
5 LIU, Y , SHAN, HY , (2013) A FORBIDDEN STRUCTURE OF RAY NONSINGULAR MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 8. P. 2367-2380 9 100% 1
6 DE CARVALHO, MH , LUCCHESI, CL , MURTY, USR , (2005) ON THE NUMBER OF DISSIMILAR PFAFFIAN ORIENTATIONS OF GRAPHS.RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS. VOL. 39. ISSUE 1. P. 93-113 11 100% 1
7 DE CARVALHO, MH , LUCCHESI, CL , MURTY, USR , (2006) HOW TO BUILD A BRICK.DISCRETE MATHEMATICS. VOL. 306. ISSUE 19-20. P. 2383-2410 10 100% 2
8 LIN, FG , ZHANG, LZ , LU, FL , (2014) PFAFFIAN ORIENTATIONS FOR A TYPE OF BIPARTITE GRAPH.THEORETICAL COMPUTER SCIENCE. VOL. 527. ISSUE . P. 97-101 8 100% 0
9 LIU, Y , SHAN, HY , (2012) RAY NONSINGULARITY OF CYCLE CHAIN MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 12. P. 2910-2921 8 100% 0
10 SHAO, JY , (2000) ON THE DIGRAPHS OF SIGN SOLVABLE LINEAR SYSTEMS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 313. ISSUE 1-3. P. 115-126 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY
2 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
3 26727 SCRAMBLING INDEX//PRIMITIVE DIGRAPH//M COMPETITION INDEX
4 26919 KONIG EGERVARY GRAPH//MAXIMAL INDEPENDENT SET//WELL COVERED GRAPH
5 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
6 28767 COMPETITION GRAPH//COMPETITION NUMBER//EDGE CLIQUE COVER
7 14302 BASE POLYHEDRON//VALUATED MATROID//SUBMODULAR FUNCTION
8 15416 A B FACTOR//FRACTIONAL K FACTOR//G F FACTOR
9 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
10 28597 BLOCK INTERSECTION GRAPHS//INFINITE DESIGN//MITRE CONFIGURATION

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