Class information for:
Level 1: LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5707 1586 15.2 48%


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
5707 1                   LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS 1586

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 LAPLACIAN MATRIX authKW 1615887 11% 48% 176
2 SPECTRAL RADIUS authKW 1614922 15% 35% 242
3 COSPECTRAL GRAPHS authKW 1343681 5% 86% 81
4 LAPLACIAN SPECTRAL RADIUS authKW 1176913 4% 96% 64
5 SIGNLESS LAPLACIAN authKW 1122312 4% 87% 67
6 ADJACENCY MATRIX authKW 1063345 9% 39% 142
7 ALGEBRAIC CONNECTIVITY authKW 879994 5% 57% 80
8 LEAST EIGENVALUE authKW 778145 3% 84% 48
9 SIGNLESS LAPLACIAN MATRIX authKW 770329 3% 78% 51
10 LAPLACIAN EIGENVALUES authKW 649086 4% 54% 62

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 60800 83% 0% 1322
2 Mathematics, Applied 34595 58% 0% 923
3 Mathematics, Interdisciplinary Applications 106 2% 0% 37
4 Statistics & Probability 57 2% 0% 32
5 Computer Science, Interdisciplinary Applications 26 2% 0% 28
6 Computer Science, Software Engineering 2 1% 0% 12
7 Operations Research & Management Science 1 1% 0% 10
8 Computer Science, Theory & Methods 0 1% 0% 12
9 Computer Science, Hardware & Architecture -0 0% 0% 4
10 Multidisciplinary Sciences -1 0% 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 MATH STAT GRP 357692 2% 77% 24
2 SMU ART SCI 134760 0% 100% 7
3 PEP COPPE 80212 0% 83% 5
4 WEN TSUN WU 44000 0% 57% 4
5 WEN TSUN WU CAS 43314 0% 75% 3
6 INFORMAT SECUR ELECT COMMERCE 38503 0% 100% 2
7 ESCOLA SUPER EDUC VISEU 25667 0% 67% 2
8 FOR WERPUNKT MATHEMATISIERUNG 25667 0% 67% 2
9 MATH 23790 46% 0% 724
10 ECONOMETR OR 19324 1% 7% 14

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 619206 38% 5% 607
2 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 180252 5% 12% 80
3 LINEAR & MULTILINEAR ALGEBRA 118325 6% 7% 90
4 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 44518 2% 9% 25
5 ARS COMBINATORIA 29986 5% 2% 76
6 DISCRETE MATHEMATICS 26439 8% 1% 127
7 CZECHOSLOVAK MATHEMATICAL JOURNAL 10459 2% 2% 35
8 ELECTRONIC JOURNAL OF COMBINATORICS 9417 2% 1% 35
9 ARS MATHEMATICA CONTEMPORANEA 8778 1% 4% 12
10 GRAPHS AND COMBINATORICS 7733 2% 1% 28

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 LAPLACIAN MATRIX 1615887 11% 48% 176 Search LAPLACIAN+MATRIX Search LAPLACIAN+MATRIX
2 SPECTRAL RADIUS 1614922 15% 35% 242 Search SPECTRAL+RADIUS Search SPECTRAL+RADIUS
3 COSPECTRAL GRAPHS 1343681 5% 86% 81 Search COSPECTRAL+GRAPHS Search COSPECTRAL+GRAPHS
4 LAPLACIAN SPECTRAL RADIUS 1176913 4% 96% 64 Search LAPLACIAN+SPECTRAL+RADIUS Search LAPLACIAN+SPECTRAL+RADIUS
5 SIGNLESS LAPLACIAN 1122312 4% 87% 67 Search SIGNLESS+LAPLACIAN Search SIGNLESS+LAPLACIAN
6 ADJACENCY MATRIX 1063345 9% 39% 142 Search ADJACENCY+MATRIX Search ADJACENCY+MATRIX
7 ALGEBRAIC CONNECTIVITY 879994 5% 57% 80 Search ALGEBRAIC+CONNECTIVITY Search ALGEBRAIC+CONNECTIVITY
8 LEAST EIGENVALUE 778145 3% 84% 48 Search LEAST+EIGENVALUE Search LEAST+EIGENVALUE
9 SIGNLESS LAPLACIAN MATRIX 770329 3% 78% 51 Search SIGNLESS+LAPLACIAN+MATRIX Search SIGNLESS+LAPLACIAN+MATRIX
10 LAPLACIAN EIGENVALUES 649086 4% 54% 62 Search LAPLACIAN+EIGENVALUES Search LAPLACIAN+EIGENVALUES

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 CVETKOVIC, D , ROWLINSON, P , SIMIC, S , (2015) GRAPHS WITH LEAST EIGENVALUE-2: TEN YEARS ON.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 484. ISSUE . P. 504 -539 76 78% 1
2 ABREU, N , JUSTEL, CM , ROJO, O , TREVISAN, V , (2014) ORDERING TREES AND GRAPHS WITH FEW CYCLES BY ALGEBRAIC CONNECTIVITY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 458. ISSUE . P. 429 -453 47 80% 2
3 AOUCHICHE, M , HANSEN, P , (2014) DISTANCE SPECTRA OF GRAPHS: A SURVEY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 458. ISSUE . P. 301 -386 51 57% 22
4 YU, GD , FAN, YZ , WANG, Y , (2014) QUADRATIC FORMS ON GRAPHS WITH APPLICATION TO MINIMIZING THE LEAST EIGENVALUE OF SIGNLESS LAPLACIAN OVER BICYCLIC GRAPHS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 27. ISSUE . P. 213 -236 33 100% 1
5 HUANG, SB , ZHOU, J , BU, CJ , (2016) SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF GRAPHS WITH ISOLATED VERTICES.FILOMAT. VOL. 30. ISSUE 14. P. 3689 -3696 29 100% 0
6 WANG, JF , BELARDO, F , ZHANG, QL , (2014) SIGNLESS LAPLACIAN SPECTRAL CHARACTERIZATION OF LINE GRAPHS OF T-SHAPE TREES.LINEAR & MULTILINEAR ALGEBRA. VOL. 62. ISSUE 11. P. 1529 -1545 29 100% 1
7 WEN, F , HUANG, QX , HUANG, XY , LIU, FJ , (2015) THE SPECTRAL CHARACTERIZATION OF WIND-WHEEL GRAPHS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 46. ISSUE 5. P. 613 -631 27 100% 1
8 CVETKOVIC, D , SIMIC, SK , (2010) TOWARDS A SPECTRAL THEORY OF GRAPHS BASED ON THE SIGNLESS LAPLACIAN, III.APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS. VOL. 4. ISSUE 1. P. 156 -166 29 88% 71
9 HONG, ZM , FAN, YZ , (2015) THE SIGNLESS LAPLACIAN OR ADJACENCY SPECTRAL RADIUS OF BICYCLIC GRAPHS WITH GIVEN NUMBER OF CUT EDGES.GRAPHS AND COMBINATORICS. VOL. 31. ISSUE 5. P. 1473 -1485 27 96% 0
10 AOUCHICHE, M , HANSEN, P , (2010) A SURVEY OF AUTOMATED CONJECTURES IN SPECTRAL GRAPH THEORY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 9. P. 2293-2322 40 67% 18

Classes with closest relation at Level 1


Rank Class id link
1 8117 KIRCHHOFF INDEX//ESTRADA INDEX//ENERGY OF GRAPH
2 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
3 27660 NULLITY//SINGULAR GRAPHS//NSSD
4 23245 MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER
5 1029 WIENER INDEX//MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY//SZEGED INDEX
6 10455 DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR
7 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
8 26919 KONIG EGERVARY GRAPH//MAXIMAL INDEPENDENT SET//WELL COVERED GRAPH
9 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT
10 37526 DEPENDENT ARC//FULL ORIENTABILITY//EDGE FIRING GAME

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