Class information for:
Level 1: MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23245 353 13.2 51%



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
23245 1                   MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER 353

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 MINIMUM RANK authKW 5121838 21% 81% 73
2 MAXIMUM NULLITY authKW 2338528 8% 97% 28
3 ZERO FORCING NUMBER authKW 1992999 7% 96% 24
4 MINIMUM SEMIDEFINITE RANK authKW 1124523 4% 100% 13
5 MAXIMUM MULTIPLICITY authKW 1038021 3% 100% 12
6 ACYCLIC MATRIX authKW 865018 3% 100% 10
7 PATH COVER NUMBER authKW 700662 3% 90% 9
8 INTRINSICALLY KNOTTED authKW 692014 2% 100% 8
9 INTRINSICALLY LINKED authKW 692014 2% 100% 8
10 P VERTICES authKW 692014 2% 100% 8

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 15755 90% 0% 317
2 Mathematics, Applied 3861 42% 0% 147
3 Computer Science, Theory & Methods 8 2% 0% 7
4 Literature, Romance 3 0% 0% 1
5 Automation & Control Systems 0 1% 0% 2
6 Physics, Mathematical 0 1% 0% 3
7 Operations Research & Management Science 0 1% 0% 2
8 Computer Science, Software Engineering 0 1% 0% 2
9 Computer Science, Interdisciplinary Applications -0 1% 0% 2
10 Engineering, General -0 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 CAMPUS HONOURS PROGRAM 86502 0% 100% 1
2 FAK MATEMATICKO FYZIKALNI 86502 0% 100% 1
3 GOLISANO COMP INFORMAT SYST 86502 0% 100% 1
4 MN MODELING SIMULAT 86502 0% 100% 1
5 PROGRAM ANALYT 86502 0% 100% 1
6 WISKUNDE INFORMAT NATUURKUNDE STERRENKUNDE 86502 0% 100% 1
7 ADV VOCAT EDUC 43250 0% 50% 1
8 KATEDRA LIKOVANE MATEMATIKY 43250 0% 50% 1
9 MATEMAT LICACOES CMA FCT UNL 43250 0% 50% 1
10 MINNESOTA MODELING SIMULAT 43250 0% 50% 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 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 212821 12% 6% 41
2 LINEAR ALGEBRA AND ITS APPLICATIONS 88028 31% 1% 108
3 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 29022 7% 1% 24
4 LINEAR & MULTILINEAR ALGEBRA 14760 4% 1% 15
5 JOURNAL OF COMBINATORIAL THEORY SERIES B 12311 5% 1% 18
6 ALGEBRAIC AND GEOMETRIC TOPOLOGY 5920 3% 1% 9
7 JOURNAL OF GRAPH THEORY 3403 3% 0% 10
8 COMBINATORICA 3144 2% 1% 7
9 DISCRETE MATHEMATICS 2934 6% 0% 20
10 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1976 2% 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 MINIMUM RANK 5121838 21% 81% 73 Search MINIMUM+RANK Search MINIMUM+RANK
2 MAXIMUM NULLITY 2338528 8% 97% 28 Search MAXIMUM+NULLITY Search MAXIMUM+NULLITY
3 ZERO FORCING NUMBER 1992999 7% 96% 24 Search ZERO+FORCING+NUMBER Search ZERO+FORCING+NUMBER
4 MINIMUM SEMIDEFINITE RANK 1124523 4% 100% 13 Search MINIMUM+SEMIDEFINITE+RANK Search MINIMUM+SEMIDEFINITE+RANK
5 MAXIMUM MULTIPLICITY 1038021 3% 100% 12 Search MAXIMUM+MULTIPLICITY Search MAXIMUM+MULTIPLICITY
6 ACYCLIC MATRIX 865018 3% 100% 10 Search ACYCLIC+MATRIX Search ACYCLIC+MATRIX
7 PATH COVER NUMBER 700662 3% 90% 9 Search PATH+COVER+NUMBER Search PATH+COVER+NUMBER
8 INTRINSICALLY KNOTTED 692014 2% 100% 8 Search INTRINSICALLY+KNOTTED Search INTRINSICALLY+KNOTTED
9 INTRINSICALLY LINKED 692014 2% 100% 8 Search INTRINSICALLY+LINKED Search INTRINSICALLY+LINKED
10 P VERTICES 692014 2% 100% 8 Search P+VERTICES Search P+VERTICES

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 FALLAT, SM , HOGBEN, L , (2007) THE MINIMUM RANK OF SYMMETRIC MATRICES DESCRIBED BY A GRAPH: A SURVEY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 426. ISSUE 2-3. P. 558-582 21 88% 55
2 LIN, JCH , (2016) USING A NEW ZERO FORCING PROCESS TO GUARANTEE THE STRONG ARNOLD PROPERTY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 507. ISSUE . P. 229 -250 16 100% 0
3 MITCHELL, LH , NARAYAN, SK , ZIMMER, AM , (2012) LOWER BOUNDS FOR MINIMUM SEMIDEFINITE RANK FROM ORTHOGONAL REMOVAL AND CHORDAL SUPERGRAPHS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 436. ISSUE 3. P. 525-536 15 100% 1
4 ALFONSIN, JLR , (2005) KNOTS AND LINKS IN SPATIAL GRAPHS: A SURVEY.DISCRETE MATHEMATICS. VOL. 302. ISSUE 1-3. P. 225-242 22 81% 1
5 BARIOLI, F , BARRETT, W , FALLAT, SM , HALL, HT , HOGBEN, L , SHADER, B , VAN DEN DRIESSCHE, P , VAN DER HOLST, H , (2013) PARAMETERS RELATED TO TREE-WIDTH, ZERO FORCING, AND MAXIMUM NULLITY OF A GRAPH.JOURNAL OF GRAPH THEORY. VOL. 72. ISSUE 2. P. 146-177 18 75% 9
6 ANSILL, T , JACOB, B , PENZELLNA, J , SAAVEDRA, D , (2016) FAILED SKEW ZERO FORCING ON A GRAPH.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 509. ISSUE . P. 40 -63 14 88% 1
7 EKSTRAND, J , ERICKSON, C , HALL, HT , HAY, D , HOGBEN, L , JOHNSON, R , KINGSLEY, N , OSBORNE, S , PETERS, T , ROAT, J , ET AL (2013) POSITIVE SEMIDEFINITE ZERO FORCING.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 7. P. 1862-1874 14 93% 9
8 CAI, XZ , WANG, XM , (2013) A NOTE ON THE POSITIVE SEMIDEFINITE MINIMUM RANK OF A SIGN PATTERN MATRIX.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 26. ISSUE . P. 345-356 15 88% 0
9 FALLAT, SM , MITCHELL, LH , (2013) COLIN DE VERDIERE PARAMETERS OF CHORDAL GRAPHS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 26. ISSUE . P. 49-62 14 93% 1
10 ZIMMER, AM , (2013) A NEW LOWER BOUND FOR THE POSITIVE SEMIDEFINITE MINIMUM RANK OF A GRAPH.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 3. P. 1095-1112 13 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 27660 NULLITY//SINGULAR GRAPHS//NSSD
2 27052 SIGN PATTERN//POTENTIALLY NILPOTENT//SPECTRALLY ARBITRARY
3 19087 INVERSE EIGENVALUE PROBLEM//NONNEGATIVE INVERSE EIGENVALUE PROBLEM//NONNEGATIVE MATRICES
4 22128 DEGREE SEQUENCE//BOXICITY//CUBICITY
5 22883 HADWIGERS CONJECTURE//K LINKED GRAPH//K ORDERED GRAPH
6 23769 MATCHING COVERED GRAPHS//PFAFFIAN ORIENTATION//RAY NONSINGULAR
7 10897 KNOT ENERGY//ROPELENGTH//MOBIUS ENERGY
8 5707 LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS
9 29813 NETWORK CONTROLLABILITY//LINEAR STRUCTURED SYSTEMS//STRUCTURE CONTROLLABILITY
10 3381 PARAMETERIZED COMPLEXITY//TREEWIDTH//PATHWIDTH

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