Class information for:
Level 1: ASSOCIATION SCHEME//TABLE ALGEBRAS//MODULAR ADJACENCY ALGEBRAS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20854 443 12.6 35%


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
616 3       JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//MATHEMATICS 13952
1380 2             PURE MATH COMP ALGEBRA//DISTANCE REGULAR GRAPH//ASSOCIATION SCHEME 8165
20854 1                   ASSOCIATION SCHEME//TABLE ALGEBRAS//MODULAR ADJACENCY ALGEBRAS 443

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 ASSOCIATION SCHEME authKW 2049019 22% 31% 96
2 TABLE ALGEBRAS authKW 1948214 7% 91% 31
3 MODULAR ADJACENCY ALGEBRAS authKW 413566 1% 100% 6
4 SCHUR RING authKW 375752 3% 42% 13
5 COHERENT CONFIGURATIONS authKW 287197 1% 83% 5
6 DUAL C ALGEBRAS authKW 287197 1% 83% 5
7 GROUP DETERMINANT authKW 287197 1% 83% 5
8 P SCHEME authKW 275711 1% 100% 4
9 THIN RESIDUE authKW 275711 1% 100% 4
10 SCHURIAN authKW 246167 1% 71% 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 21657 94% 0% 416
2 Mathematics, Applied 1198 21% 0% 95
3 Computer Science, Theory & Methods 14 2% 0% 10
4 Logic 3 0% 0% 1
5 Physics, Mathematical 1 1% 0% 5
6 Operations Research & Management Science -0 0% 0% 2
7 Computer Science, Software Engineering -0 0% 0% 2
8 Multidisciplinary Sciences -0 0% 0% 1
9 Statistics & Probability -1 0% 0% 1
10 Physics, Nuclear -2 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 ABT ALGEBRA 68928 0% 100% 1
2 MATH ALGEBRA 1 68928 0% 100% 1
3 PETERSBURG VA STEKLOV 68928 0% 100% 1
4 SCI MATH INFORMAT INAGE KU 68928 0% 100% 1
5 VA STEKLOV 68928 0% 100% 1
6 COMBINATORIAL COMPUTAT MATH 60512 1% 15% 6
7 ABINGTON 38164 1% 9% 6
8 MAHEMAT 34463 0% 50% 1
9 THEORY ALGORITHMS 34463 0% 50% 1
10 PETERSBURG 34459 1% 17% 3

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 JOURNAL OF ALGEBRAIC COMBINATORICS 35465 5% 2% 24
2 EUROPEAN JOURNAL OF COMBINATORICS 32399 9% 1% 38
3 JOURNAL OF ALGEBRA 30623 17% 1% 76
4 COMMUNICATIONS IN ALGEBRA 13793 10% 0% 44
5 RUSSIAN MATHEMATICAL SURVEYS 6293 3% 1% 15
6 JOURNAL OF COMBINATORIAL THEORY SERIES A 6052 4% 1% 17
7 ALGEBRA COLLOQUIUM 4787 2% 1% 9
8 ST PETERSBURG MATHEMATICAL JOURNAL 4103 1% 1% 5
9 LINEAR ALGEBRA AND ITS APPLICATIONS 3425 5% 0% 24
10 DISCRETE MATHEMATICS 2824 5% 0% 22

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 ASSOCIATION SCHEME 2049019 22% 31% 96 Search ASSOCIATION+SCHEME Search ASSOCIATION+SCHEME
2 TABLE ALGEBRAS 1948214 7% 91% 31 Search TABLE+ALGEBRAS Search TABLE+ALGEBRAS
3 MODULAR ADJACENCY ALGEBRAS 413566 1% 100% 6 Search MODULAR+ADJACENCY+ALGEBRAS Search MODULAR+ADJACENCY+ALGEBRAS
4 SCHUR RING 375752 3% 42% 13 Search SCHUR+RING Search SCHUR+RING
5 COHERENT CONFIGURATIONS 287197 1% 83% 5 Search COHERENT+CONFIGURATIONS Search COHERENT+CONFIGURATIONS
6 DUAL C ALGEBRAS 287197 1% 83% 5 Search DUAL+C+ALGEBRAS Search DUAL+C+ALGEBRAS
7 GROUP DETERMINANT 287197 1% 83% 5 Search GROUP+DETERMINANT Search GROUP+DETERMINANT
8 P SCHEME 275711 1% 100% 4 Search P+SCHEME Search P+SCHEME
9 THIN RESIDUE 275711 1% 100% 4 Search THIN+RESIDUE Search THIN+RESIDUE
10 SCHURIAN 246167 1% 71% 5 Search SCHURIAN Search SCHURIAN

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 BLAU, HI , (2009) TABLE ALGEBRAS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 30. ISSUE 6. P. 1426-1455 25 69% 11
2 SHARAFDINI, R , HIRASAKA, M , (2017) COHERENT CONFIGURATIONS OVER COPIES OF ASSOCIATION SCHEMES OF PRIME ORDER.ARS MATHEMATICA CONTEMPORANEA. VOL. 12. ISSUE 1. P. 111 -126 10 83% 1
3 ZIESCHANG, PH , (2009) TRENDS AND LINES OF DEVELOPMENT IN SCHEME THEORY.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 30. ISSUE 6. P. 1540-1563 16 100% 4
4 XU, BT , BLAU, HI , (2011) ON PSEUDOCYCLIC TABLE ALGEBRAS AND APPLICATIONS TO PSEUDOCYCLIC ASSOCIATION SCHEMES.ISRAEL JOURNAL OF MATHEMATICS. VOL. 183. ISSUE 1. P. 347 -379 16 89% 1
5 BLAU, HI , XU, BT , (2014) IRREDUCIBLE CHARACTERS OF WREATH PRODUCTS IN REALITY-BASED ALGEBRAS AND APPLICATIONS TO ASSOCIATION SCHEMES.JOURNAL OF ALGEBRA. VOL. 412. ISSUE . P. 155-172 13 100% 0
6 HANAKI, A , (2009) REPRESENTATIONS OF FINITE ASSOCIATION SCHEMES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 30. ISSUE 6. P. 1477-1496 14 93% 4
7 XU, BT , (2011) SOME STRUCTURE THEORY OF TABLE ALGEBRAS AND APPLICATIONS TO ASSOCIATION SCHEMES.JOURNAL OF ALGEBRA. VOL. 325. ISSUE 1. P. 97 -131 13 93% 5
8 ANTONOU, A , (2015) COMMUTATIVE STANDARD TABLE ALGEBRAS WITH AT MOST ONE NONTRIVIAL MULTIPLICITY.COMMUNICATIONS IN ALGEBRA. VOL. 43. ISSUE 6. P. 2516 -2523 11 100% 0
9 HUMPHRIES, SP , RODE, EL , (2012) WEAK CAYLEY TABLES AND GENERALIZED CENTRALIZER RINGS OF FINITE GROUPS.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 153. ISSUE . P. 281-318 13 87% 0
10 XU, BT , (2013) DIRECT PRODUCTS OF ASSOCIATION SCHEMES AND TENSOR PRODUCTS OF TABLE ALGEBRAS.ALGEBRA COLLOQUIUM. VOL. 20. ISSUE 3. P. 475 -494 11 92% 0

Classes with closest relation at Level 1


Rank Class id link
1 10455 DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR
2 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
3 28855 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
4 9115 RELATIVE DIFFERENCE SET//SYMMETRIC DESIGN//DIFFERENCE SET
5 32775 PERMUTATION DECODING//PD SET//ANTIBLOCKING DECODING
6 7572 CHARACTER DEGREES//CONJUGACY CLASS SIZES//FINITE GROUP
7 7963 CAYLEY GRAPH//ARC TRANSITIVE GRAPH//SYMMETRIC GRAPH
8 25823 HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS
9 26199 MINIMAL NONABELIAN P GROUPS//METACYCLIC P GROUPS//NON NORMAL SUBGROUPS
10 6358 FLAG TRANSITIVE//POINT PRIMITIVE//BLOCK TRANSITIVE

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