Class information for:
Level 1: KIRCHHOFF INDEX//ESTRADA INDEX//ENERGY OF GRAPH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8117 1290 21.8 54%


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
8117 1                   KIRCHHOFF INDEX//ESTRADA INDEX//ENERGY OF GRAPH 1290

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 KIRCHHOFF INDEX authKW 1580625 6% 90% 74
2 ESTRADA INDEX authKW 1187257 4% 95% 53
3 ENERGY OF GRAPH authKW 1160252 4% 98% 50
4 RESISTANCE DISTANCE authKW 1057923 5% 72% 62
5 MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY journal 1034607 20% 17% 255
6 HOSOYA INDEX authKW 924284 4% 81% 48
7 MERRIFIELD SIMMONS INDEX authKW 758108 3% 97% 33
8 GRAPH ENERGY authKW 600034 3% 69% 37
9 ENERGY OF A GRAPH authKW 520722 2% 100% 22
10 TOTAL PI ELECTRON ENERGY authKW 473929 2% 69% 29

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, Interdisciplinary Applications 18814 28% 0% 355
2 Mathematics, Applied 10453 36% 0% 465
3 Mathematics 9178 37% 0% 476
4 Computer Science, Interdisciplinary Applications 8378 22% 0% 284
5 Chemistry, Multidisciplinary 2587 30% 0% 391
6 Physics, Mathematical 101 3% 0% 41
7 Physics, Atomic, Molecular & Chemical 59 4% 0% 52
8 Statistics & Probability 57 2% 0% 28
9 Chemistry, Physical 43 7% 0% 94
10 Physics, Multidisciplinary 39 4% 0% 56

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 LPMC TJKLC 145729 4% 13% 48
2 PUBL COURSES 136535 1% 38% 15
3 MATH ANGEW INFORMAT 119817 1% 56% 9
4 COMBINATOR 103276 4% 8% 56
5 COMBINATOR LPMC TJKLC 100896 1% 47% 9
6 ENHANCEMENT 54090 1% 29% 8
7 SCI COMP STAT 47334 0% 50% 4
8 MATH CHEM GRP 29579 0% 25% 5
9 EDIFICIO CACTUS 24647 0% 21% 5
10 BUSINESS INFORMAT MANAGEMENT OOL 23669 0% 100% 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 MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 1034607 20% 17% 255
2 LINEAR ALGEBRA AND ITS APPLICATIONS 56716 13% 1% 166
3 JOURNAL OF MATHEMATICAL CHEMISTRY 28483 4% 2% 56
4 DISCRETE APPLIED MATHEMATICS 17686 5% 1% 70
5 ARS COMBINATORIA 14077 4% 1% 47
6 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 10586 1% 4% 11
7 ELECTRONIC JOURNAL OF COMBINATORICS 9089 2% 1% 31
8 LINEAR & MULTILINEAR ALGEBRA 8662 2% 2% 22
9 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 7768 1% 2% 15
10 DISCUSSIONES MATHEMATICAE GRAPH THEORY 4427 1% 2% 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 KIRCHHOFF INDEX 1580625 6% 90% 74 Search KIRCHHOFF+INDEX Search KIRCHHOFF+INDEX
2 ESTRADA INDEX 1187257 4% 95% 53 Search ESTRADA+INDEX Search ESTRADA+INDEX
3 ENERGY OF GRAPH 1160252 4% 98% 50 Search ENERGY+OF+GRAPH Search ENERGY+OF+GRAPH
4 RESISTANCE DISTANCE 1057923 5% 72% 62 Search RESISTANCE+DISTANCE Search RESISTANCE+DISTANCE
5 HOSOYA INDEX 924284 4% 81% 48 Search HOSOYA+INDEX Search HOSOYA+INDEX
6 MERRIFIELD SIMMONS INDEX 758108 3% 97% 33 Search MERRIFIELD+SIMMONS+INDEX Search MERRIFIELD+SIMMONS+INDEX
7 GRAPH ENERGY 600034 3% 69% 37 Search GRAPH+ENERGY Search GRAPH+ENERGY
8 ENERGY OF A GRAPH 520722 2% 100% 22 Search ENERGY+OF+A+GRAPH Search ENERGY+OF+A+GRAPH
9 TOTAL PI ELECTRON ENERGY 473929 2% 69% 29 Search TOTAL+PI+ELECTRON+ENERGY Search TOTAL+PI+ELECTRON+ENERGY
10 LAPLACIAN COEFFICIENTS 403620 1% 95% 18 Search LAPLACIAN+COEFFICIENTS Search LAPLACIAN+COEFFICIENTS

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 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
3 GUTMAN, I , (2005) TOPOLOGY AND STABILITY OF CONJUGATED HIDROCARBONS. THE DEPENDENCE OF TOTAL PI-ELECTRON ENERGY ON MOLECULAR TOPOLOGY.JOURNAL OF THE SERBIAN CHEMICAL SOCIETY. VOL. 70. ISSUE 3. P. 441 -456 58 70% 115
4 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 28 88% 5
5 LIU, JB , PAN, XF , (2015) A UNIFIED APPROACH TO THE ASYMPTOTIC TOPOLOGICAL INDICES OF VARIOUS LATTICES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 270. ISSUE . P. 62 -73 34 97% 1
6 LIU, JB , WANG, WR , ZHANG, YM , PAN, XF , (2016) ON DEGREE RESISTANCE DISTANCE OF CACTI.DISCRETE APPLIED MATHEMATICS. VOL. 203. ISSUE . P. 217 -225 34 89% 1
7 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 36 84% 5
8 YANG, YJ , KLEIN, DJ , (2014) COMPARISON THEOREMS ON RESISTANCE DISTANCES AND KIRCHHOFF INDICES OF S, T-ISOMERS.DISCRETE APPLIED MATHEMATICS. VOL. 175. ISSUE . P. 87 -93 35 88% 10
9 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 35 81% 6
10 LI, XL , SHI, YT , WEI, MQ , LI, J , (2014) ON A CONJECTURE ABOUT TRICYCLIC GRAPHS WITH MAXIMAL ENERGY.MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. VOL. 72. ISSUE 1. P. 183 -214 23 100% 39

Classes with closest relation at Level 1


Rank Class id link
1 5707 LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS
2 1029 WIENER INDEX//MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY//SZEGED INDEX
3 27660 NULLITY//SINGULAR GRAPHS//NSSD
4 3992 KEKULE STRUCTURE//BENZENOID HYDROCARBONS//CYCLIC CONJUGATION
5 26919 KONIG EGERVARY GRAPH//MAXIMAL INDEPENDENT SET//WELL COVERED GRAPH
6 25091 LPTHIRM//IAESB//WHEATSTONE PHYS
7 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
8 35642 IMPLICIT LINEAR OPERATORS//MATRIX DIAGONAL EXTRACTION//TRACE ESTIMATION
9 24204 RANDOM INTERLACEMENTS//COVER TIME//VACANT SET
10 14004 APPROXIMATE COUNTING//PERMANENTAL POLYNOMIAL//PERMANENT

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