Class information for:
Level 1: NULLITY//SINGULAR GRAPHS//NSSD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27660 224 16.6 40%


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
2446 2             LAPLACIAN MATRIX//ADJACENCY MATRIX//SPECTRAL RADIUS 4055
27660 1                   NULLITY//SINGULAR GRAPHS//NSSD 224

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 NULLITY authKW 1812824 14% 42% 32
2 SINGULAR GRAPHS authKW 1374545 5% 92% 11
3 NSSD authKW 545275 2% 100% 4
4 POSITIVE INERTIA INDEX authKW 545275 2% 100% 4
5 NULLITY OF GRAPHS authKW 408956 1% 100% 3
6 MINIMAL CONFIGURATION authKW 378658 2% 56% 5
7 ISOLATION NUMBER authKW 306715 1% 75% 3
8 BIPARTITE DECOMPOSITION authKW 272637 1% 100% 2
9 EIGENSHARP GRAPHS authKW 272637 1% 100% 2
10 G NUTFUL GRAPH authKW 272637 1% 100% 2

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 4759 63% 0% 140
2 Mathematics, Applied 1387 32% 0% 71
3 Mathematics, Interdisciplinary Applications 509 11% 0% 25
4 Physics, Atomic, Molecular & Chemical 132 11% 0% 24
5 Chemistry, Physical 104 17% 0% 38
6 Computer Science, Interdisciplinary Applications 35 4% 0% 9
7 Chemistry, Multidisciplinary 25 10% 0% 22
8 Statistics & Probability 11 2% 0% 5
9 Computer Science, Theory & Methods 3 2% 0% 4
10 Computer Science, Information Systems 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 MSD2080 136319 0% 100% 1
2 SADDER MATH 136319 0% 100% 1
3 MATH CHEM GRP 61338 1% 15% 3
4 MENDOZA BUSINESS 354 45438 0% 33% 1
5 SECT H12 4542 0% 3% 1
6 SACKLER MATH 3493 0% 3% 1
7 STERLING CHEM 2959 1% 1% 2
8 CIENCIAS MATEMAT ICMAT 2898 0% 2% 1
9 MATH 2238 38% 0% 84
10 DISCRETE MATH THEORET COMP SCI 2095 0% 2% 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 LINEAR ALGEBRA AND ITS APPLICATIONS 22994 20% 0% 44
2 ARS MATHEMATICA CONTEMPORANEA 21191 3% 2% 7
3 LINEAR & MULTILINEAR ALGEBRA 17480 6% 1% 13
4 DISCRETE MATHEMATICS 5627 10% 0% 22
5 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 4980 2% 1% 5
6 THEORETICA CHIMICA ACTA 4812 3% 1% 7
7 MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 4478 3% 0% 7
8 JOURNAL OF GRAPH THEORY 3437 4% 0% 8
9 JOURNAL OF MATHEMATICAL CHEMISTRY 3345 4% 0% 8
10 JOURNAL OF COMBINATORIAL THEORY SERIES B 2929 3% 0% 7

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 NULLITY 1812824 14% 42% 32 Search NULLITY Search NULLITY
2 SINGULAR GRAPHS 1374545 5% 92% 11 Search SINGULAR+GRAPHS Search SINGULAR+GRAPHS
3 NSSD 545275 2% 100% 4 Search NSSD Search NSSD
4 POSITIVE INERTIA INDEX 545275 2% 100% 4 Search POSITIVE+INERTIA+INDEX Search POSITIVE+INERTIA+INDEX
5 NULLITY OF GRAPHS 408956 1% 100% 3 Search NULLITY+OF+GRAPHS Search NULLITY+OF+GRAPHS
6 MINIMAL CONFIGURATION 378658 2% 56% 5 Search MINIMAL+CONFIGURATION Search MINIMAL+CONFIGURATION
7 ISOLATION NUMBER 306715 1% 75% 3 Search ISOLATION+NUMBER Search ISOLATION+NUMBER
8 BIPARTITE DECOMPOSITION 272637 1% 100% 2 Search BIPARTITE+DECOMPOSITION Search BIPARTITE+DECOMPOSITION
9 EIGENSHARP GRAPHS 272637 1% 100% 2 Search EIGENSHARP+GRAPHS Search EIGENSHARP+GRAPHS
10 G NUTFUL GRAPH 272637 1% 100% 2 Search G+NUTFUL+GRAPH Search G+NUTFUL+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 MA, XB , WONG, DI , TIAN, FL , (2016) CHARACTERIZATION OF GRAPHS WHOSE SIGNATURE EQUALS THE NUMBER OF ODD CYCLES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 511. ISSUE . P. 259 -273 22 96% 0
2 WANG, DY , TIAN, FL , (2016) THE SIGNATURE OF K-CYCLIC GRAPHS OF INFINITY-TYPE.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 3. P. 375 -382 21 100% 0
3 MA, XB , WONG, DI , ZHU, M , (2013) THE POSITIVE AND THE NEGATIVE INERTIA INDEX OF LINE GRAPHS OF TREES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 10. P. 3120-3128 20 100% 2
4 WONG, D , ZHU, M , LV, WP , (2013) A CHARACTERIZATION OF LONG GRAPHS OF ARBITRARY RANK.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 3. P. 1347-1355 19 100% 3
5 CHANG, GJ , HUANG, LH , YEH, HG , (2012) A CHARACTERIZATION OF GRAPHS WITH RANK 5.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 11. P. 4241-4250 18 100% 17
6 MA, XB , WONG, D , (2015) THE NULLITY OF K-CYCLIC GRAPHS OF INFINITY-TYPE.LINEAR & MULTILINEAR ALGEBRA. VOL. 63. ISSUE 11. P. 2200 -2211 18 95% 2
7 SONG, YZ , SONG, XQ , ZHANG, MC , (2016) AN UPPER BOUND FOR THE NULLITY OF A BIPARTITE GRAPH IN TERMS OF ITS MAXIMUM DEGREE.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 6. P. 1107 -1112 17 100% 0
8 WANG, L , (2016) CHARACTERIZATION OF GRAPHS WITH GIVEN ORDER, GIVEN SIZE AND GIVEN MATCHING NUMBER THAT MINIMIZE NULLITY.DISCRETE MATHEMATICS. VOL. 339. ISSUE 5. P. 1574 -1582 16 100% 0
9 MA, XB , WONG, DI , TIAN, FL , (2016) NULLITY OF A GRAPH IN TERMS OF THE DIMENSION OF CYCLE SPACE AND THE NUMBER OF PENDANT VERTICES.DISCRETE APPLIED MATHEMATICS. VOL. 215. ISSUE . P. 171 -176 16 100% 0
10 LI, HH , FAN, YZ , SU, L , (2012) ON THE NULLITY OF THE LINE GRAPH OF UNICYCLIC GRAPH WITH DEPTH ONE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 8. P. 2038-2055 18 90% 12

Classes with closest relation at Level 1


Rank Class id link
1 23245 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
2 5707 LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS
3 29944 STRONG CHROMATIC INDEX//INDUCED MATCHING//INCIDENCE COLORING
4 8117 KIRCHHOFF INDEX//ESTRADA INDEX//ENERGY OF GRAPH
5 36594 MACROSCOPICITY//CARDINALITY OF ROW SPACE//DETERMINANT RANGE
6 29865 JUMP NUMBER//INTERVAL ORDERS//ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
7 12202 COMMUNICATION COMPLEXITY//QUANTUM QUERY COMPLEXITY//NEGATION LIMITED CIRCUIT
8 35727 CLOSED LOOPS//GENOME ERS//SKEW PAIRS
9 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION
10 3992 KEKULE STRUCTURE//BENZENOID HYDROCARBONS//CYCLIC CONJUGATION

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