Class information for:
Level 1: GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21009 437 17.2 36%


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
21009 1                   GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH 437

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 GRAPH COVERING authKW 735173 5% 48% 22
2 IHARA ZETA FUNCTION authKW 715499 4% 64% 16
3 RAMANUJAN GRAPH authKW 494575 4% 37% 19
4 DIGRAPH COVERING authKW 291140 1% 83% 5
5 IHARA SELBERG ZETA FUNCTION authKW 291140 1% 83% 5
6 ZETA FUNCTION authKW 266591 8% 11% 35
7 AMITSUR IDENTITY authKW 209622 1% 100% 3
8 COVER DEGENERACY authKW 209622 1% 100% 3
9 RAMANUJAN GRAPH DIAGRAM authKW 209622 1% 100% 3
10 SEMIREGULAR GRAPH authKW 158799 1% 45% 5

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 16448 83% 0% 361
2 Mathematics, Applied 3021 33% 0% 146
3 Computer Science, Theory & Methods 242 7% 0% 31
4 Computer Science, Software Engineering 71 3% 0% 15
5 Computer Science, Information Systems 29 3% 0% 12
6 Computer Science, Hardware & Architecture 10 1% 0% 5
7 Statistics & Probability 8 2% 0% 7
8 Logic 3 0% 0% 1
9 Operations Research & Management Science 2 1% 0% 4
10 Physics, Mathematical 1 1% 0% 5

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 INTERNATIONALISAT OFF 139748 0% 100% 2
2 AR GE UYDU TASARIM DIREKTORU 69874 0% 100% 1
3 MASCOTTE JOIN PROJECT 69874 0% 100% 1
4 PROJET MASCOTTEINRIA SOPHIA ANTIPOLIS 69874 0% 100% 1
5 CHIKUS KU 34936 0% 50% 1
6 SYST ENGN MATH 33093 1% 16% 3
7 FB MATH INF 23290 0% 33% 1
8 LLENGUATGES SISTEMAS 23290 0% 33% 1
9 COATI PROJECT 17467 0% 25% 1
10 IST MAT FIS 17467 0% 25% 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 16421 12% 0% 52
2 COMBINATORICA 15014 4% 1% 17
3 JOURNAL OF COMBINATORIAL THEORY SERIES B 12273 5% 1% 20
4 ELECTRONIC JOURNAL OF COMBINATORICS 10109 4% 1% 19
5 RANDOM STRUCTURES & ALGORITHMS 8576 3% 1% 12
6 EUROPEAN JOURNAL OF COMBINATORICS 6555 4% 1% 17
7 JOURNAL OF THE ASSOCIATION FOR COMPUTING MACHINERY 5373 0% 8% 1
8 LINEAR & MULTILINEAR ALGEBRA 5290 2% 1% 10
9 DISCRETE MATHEMATICS 4993 7% 0% 29
10 GRAPHS AND COMBINATORICS 3586 2% 1% 10

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 GRAPH COVERING 735173 5% 48% 22 Search GRAPH+COVERING Search GRAPH+COVERING
2 IHARA ZETA FUNCTION 715499 4% 64% 16 Search IHARA+ZETA+FUNCTION Search IHARA+ZETA+FUNCTION
3 RAMANUJAN GRAPH 494575 4% 37% 19 Search RAMANUJAN+GRAPH Search RAMANUJAN+GRAPH
4 DIGRAPH COVERING 291140 1% 83% 5 Search DIGRAPH+COVERING Search DIGRAPH+COVERING
5 IHARA SELBERG ZETA FUNCTION 291140 1% 83% 5 Search IHARA+SELBERG+ZETA+FUNCTION Search IHARA+SELBERG+ZETA+FUNCTION
6 ZETA FUNCTION 266591 8% 11% 35 Search ZETA+FUNCTION Search ZETA+FUNCTION
7 AMITSUR IDENTITY 209622 1% 100% 3 Search AMITSUR+IDENTITY Search AMITSUR+IDENTITY
8 COVER DEGENERACY 209622 1% 100% 3 Search COVER+DEGENERACY Search COVER+DEGENERACY
9 RAMANUJAN GRAPH DIAGRAM 209622 1% 100% 3 Search RAMANUJAN+GRAPH+DIAGRAM Search RAMANUJAN+GRAPH+DIAGRAM
10 SEMIREGULAR GRAPH 158799 1% 45% 5 Search SEMIREGULAR+GRAPH Search SEMIREGULAR+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 LUBOTZKY, A , (2014) RAMANUJAN COMPLEXES AND HIGH DIMENSIONAL EXPANDERS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 9. ISSUE 2. P. 137 -169 26 68% 3
2 CHOE, YB , KWAK, JH , PARK, YS , SATO, I , (2007) BARTHOLDI ZETA AND L-FUNCTIONS OF WEIGHTED DIGRAPHS, THEIR COVERINGS AND PRODUCTS.ADVANCES IN MATHEMATICS. VOL. 213. ISSUE 2. P. 865-886 18 100% 1
3 MARCUS, AW , SPIELMAN, DA , SRIVASTAVA, N , (2015) INTERLACING FAMILIES I: BIPARTITE RAMANUJAN GRAPHS OF ALL DEGREES.ANNALS OF MATHEMATICS. VOL. 182. ISSUE 1. P. 307 -325 17 71% 7
4 HOORY, S , LINIAL, N , WIGDERSON, A , (2006) EXPANDER GRAPHS AND THEIR APPLICATIONS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 43. ISSUE 4. P. 439 -561 24 34% 386
5 NEGAMI, S , SATO, I , (2010) WEIGHTED ZETA FUNCTIONS FOR QUOTIENTS OF REGULAR COVERINGS OF GRAPHS.ADVANCES IN MATHEMATICS. VOL. 225. ISSUE 4. P. 1717-1738 11 100% 0
6 PUDER, D , (2015) EXPANSION OF RANDOM GRAPHS: NEW PROOFS, NEW RESULTS.INVENTIONES MATHEMATICAE. VOL. 201. ISSUE 3. P. 845 -908 17 57% 0
7 ZHOU, H , (2017) THE INVERSE OF THE DISTANCE MATRIX OF A DISTANCE WELL-DEFINED GRAPH.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 517. ISSUE . P. 11 -29 9 100% 0
8 HIGUCHI, Y , SATO, I , (2015) A BALANCED SIGNED DIGRAPH.GRAPHS AND COMBINATORICS. VOL. 31. ISSUE 6. P. 2215 -2230 10 91% 0
9 KANG, MH , LI, WCWN , (2015) ARTIN L-FUNCTIONS ON FINITE QUOTIENTS OF PGL(3).INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 19. P. 9251 -9276 9 100% 0
10 MOHAR, B , (2010) A STRENGTHENING AND A MULTIPARTITE GENERALIZATION OF THE ALON-BOPPANA-SERRE THEOREM.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 138. ISSUE 11. P. 3899 -3909 12 80% 2

Classes with closest relation at Level 1


Rank Class id link
1 23249 APOLLONIAN PACKING//AXIAL FUNCTIONS//BABAIS CONJECTURE
2 30664 FIREFIGHTER PROBLEM//SURVIVING RATE//RUPTURE DEGREE
3 11794 GROMOV HYPERBOLICITY//INFINITE GRAPHS//TRANSFINITE GRAPHS
4 5707 LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS
5 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
6 13659 RANDOM STRUCTURES & ALGORITHMS//RANDOM GRAPHS//POSITIONAL GAMES
7 7314 ZERO KNOWLEDGE//OBLIVIOUS TRANSFER//JOURNAL OF CRYPTOLOGY
8 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
9 24204 RANDOM INTERLACEMENTS//COVER TIME//VACANT SET
10 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY

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