Class information for:
Level 2: LAPLACIAN MATRIX//ADJACENCY MATRIX//SPECTRAL RADIUS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2446 4055 17.3 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
8117 1                   KIRCHHOFF INDEX//ESTRADA INDEX//ENERGY OF GRAPH 1290
21009 1                   GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH 437
23245 1                   MINIMUM RANK//MAXIMUM NULLITY//ZERO FORCING NUMBER 353
27660 1                   NULLITY//SINGULAR GRAPHS//NSSD 224
30664 1                   FIREFIGHTER PROBLEM//SURVIVING RATE//RUPTURE DEGREE 165

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 1060414 6% 62% 228
2 ADJACENCY MATRIX authKW 744409 5% 52% 190
3 SPECTRAL RADIUS authKW 684613 6% 36% 252
4 LINEAR ALGEBRA AND ITS APPLICATIONS journal 626699 24% 9% 977
5 UNICYCLIC GRAPH authKW 566845 3% 56% 135
6 COSPECTRAL GRAPHS authKW 565094 2% 89% 84
7 KIRCHHOFF INDEX authKW 530283 2% 93% 76
8 MINIMUM RANK authKW 495933 2% 86% 77
9 SIGNLESS LAPLACIAN authKW 479068 2% 91% 70
10 LAPLACIAN EIGENVALUES authKW 477086 2% 75% 85

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 97015 66% 1% 2685
2 Mathematics, Applied 51156 45% 0% 1809
3 Mathematics, Interdisciplinary Applications 7754 10% 0% 417
4 Computer Science, Interdisciplinary Applications 3165 8% 0% 328
5 Chemistry, Multidisciplinary 645 11% 0% 450
6 Statistics & Probability 119 2% 0% 76
7 Computer Science, Theory & Methods 93 2% 0% 82
8 Computer Science, Software Engineering 23 1% 0% 43
9 Physics, Mathematical 11 1% 0% 49
10 Physics, Atomic, Molecular & Chemical 7 2% 0% 79

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 139872 1% 77% 24
2 LPMC TJKLC 54341 1% 14% 52
3 MATH 53035 43% 0% 1732
4 SMU ART SCI 52699 0% 100% 7
5 COMBINATOR 51251 2% 10% 70
6 PUBL COURSES 49398 0% 41% 16
7 MATH ANGEW INFORMAT 47045 0% 63% 10
8 COMBINATOR LPMC TJKLC 32085 0% 47% 9
9 PEP COPPE 31367 0% 83% 5
10 WEN TSUN WU 26884 0% 71% 5

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 626699 24% 9% 977
2 MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 407887 7% 19% 284
3 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 225174 4% 21% 143
4 LINEAR & MULTILINEAR ALGEBRA 128450 4% 11% 150
5 ARS COMBINATORIA 60732 4% 5% 173
6 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 40198 1% 14% 38
7 DISCRETE MATHEMATICS 36805 6% 2% 240
8 DISCRETE APPLIED MATHEMATICS 26786 4% 2% 153
9 ELECTRONIC JOURNAL OF COMBINATORICS 24903 2% 4% 91
10 ARS MATHEMATICA CONTEMPORANEA 17374 1% 9% 27

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 1060414 6% 62% 228 Search LAPLACIAN+MATRIX Search LAPLACIAN+MATRIX
2 ADJACENCY MATRIX 744409 5% 52% 190 Search ADJACENCY+MATRIX Search ADJACENCY+MATRIX
3 SPECTRAL RADIUS 684613 6% 36% 252 Search SPECTRAL+RADIUS Search SPECTRAL+RADIUS
4 UNICYCLIC GRAPH 566845 3% 56% 135 Search UNICYCLIC+GRAPH Search UNICYCLIC+GRAPH
5 COSPECTRAL GRAPHS 565094 2% 89% 84 Search COSPECTRAL+GRAPHS Search COSPECTRAL+GRAPHS
6 KIRCHHOFF INDEX 530283 2% 93% 76 Search KIRCHHOFF+INDEX Search KIRCHHOFF+INDEX
7 MINIMUM RANK 495933 2% 86% 77 Search MINIMUM+RANK Search MINIMUM+RANK
8 SIGNLESS LAPLACIAN 479068 2% 91% 70 Search SIGNLESS+LAPLACIAN Search SIGNLESS+LAPLACIAN
9 LAPLACIAN EIGENVALUES 477086 2% 75% 85 Search LAPLACIAN+EIGENVALUES Search LAPLACIAN+EIGENVALUES
10 LAPLACIAN SPECTRAL RADIUS 474736 2% 97% 65 Search LAPLACIAN+SPECTRAL+RADIUS Search LAPLACIAN+SPECTRAL+RADIUS

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 WAGNER, S , GUTMAN, I , (2010) MAXIMA AND MINIMA OF THE HOSOYA INDEX AND THE MERRIFIELD-SIMMONS INDEX A SURVEY OF RESULTS AND TECHNIQUES.ACTA APPLICANDAE MATHEMATICAE. VOL. 112. ISSUE 3. P. 323-346 91 96% 35
2 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 87 90% 1
3 PIRZADA, S , GANIE, HA , GUTMAN, I , (2015) ON LAPLACIAN-ENERGY-LIKE INVARIANT AND KIRCHHOFF INDEX.MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. VOL. 73. ISSUE 1. P. 41 -59 43 100% 6
4 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 52 88% 2
5 MADEN, AD , (2015) NEW BOUNDS ON THE INCIDENCE ENERGY, RANDIC ENERGY AND RANDIC ESTRADA INDEX.MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. VOL. 74. ISSUE 2. P. 367 -387 42 98% 5
6 AOUCHICHE, M , HANSEN, P , (2014) DISTANCE SPECTRA OF GRAPHS: A SURVEY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 458. ISSUE . P. 301 -386 57 64% 22
7 HUANG, SB , ZHOU, J , BU, CJ , (2016) SOME RESULTS ON KIRCHHOFF INDEX AND DEGREE-KIRCHHOFF INDEX.MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. VOL. 75. ISSUE 1. P. 207 -222 31 97% 5
8 LIU, JB , PAN, XF , YU, L , LI, D , (2016) COMPLETE CHARACTERIZATION OF BICYCLIC GRAPHS WITH MINIMAL KIRCHHOFF INDEX.DISCRETE APPLIED MATHEMATICS. VOL. 200. ISSUE . P. 95 -107 34 100% 2
9 STEVANOVIC, D , (2011) TWO SPECTRAL CHARACTERIZATIONS OF REGULAR, BIPARTITE GRAPHS WITH FIVE EIGENVALUES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 10. P. 2612-2625 45 96% 1
10 YU, GH , LIU, X , QU, H , (2017) SINGULARITY OF HERMITIAN (QUASI-)LAPLACIAN MATRIX OF MIXED GRAPHS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 293. ISSUE . P. 287 -292 23 96% 1

Classes with closest relation at Level 2


Rank Class id link
1 1068 WIENER INDEX//QSAR//MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
3 2140 CONTACT PROCESS//FIRST PASSAGE PERCOLATION//PERCOLATION
4 2508 INTERCONNECTION NETWORKS//HYPERCUBE//STAR GRAPH
5 2286 LINEAR ALGEBRA AND ITS APPLICATIONS//MAX ALGEBRA//SIGN PATTERN
6 303 DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B
7 3367 MEDIAN GRAPH//GEODETIC NUMBER//FIBONACCI CUBE
8 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
9 1380 PURE MATH COMP ALGEBRA//DISTANCE REGULAR GRAPH//ASSOCIATION SCHEME
10 584 AROMATICITY//CYCLOPHANES//HELICENES

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