Class information for:
Level 1: DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10455 1062 16.4 44%


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
10455 1                   DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR 1062

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 DISTANCE REGULAR GRAPH authKW 4343696 18% 79% 192
2 LEONARD PAIR authKW 2334003 8% 96% 85
3 TRIDIAGONAL PAIR authKW 1840506 6% 98% 65
4 TERWILLIGER ALGEBRA authKW 1031122 4% 78% 46
5 ASSOCIATION SCHEME authKW 701866 8% 28% 87
6 Q RACAH POLYNOMIAL authKW 698647 3% 90% 27
7 SUBCONSTITUENT ALGEBRA authKW 546272 2% 100% 19
8 COMPLETELY REGULAR CODE authKW 487064 2% 71% 24
9 Q POLYNOMIAL authKW 472863 2% 66% 25
10 LEONARD TRIPLE authKW 431267 1% 100% 15

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 40504 83% 0% 883
2 Mathematics, Applied 3780 24% 0% 259
3 Physics, Mathematical 394 6% 0% 64
4 Computer Science, Theory & Methods 126 4% 0% 39
5 COMPUTER APPLICATIONS & CYBERNETICS 9 0% 0% 1
6 Statistics & Probability 8 1% 0% 13
7 Logic 4 0% 0% 2
8 Physics, Multidisciplinary 3 3% 0% 28
9 Physics, Particles & Fields 0 1% 0% 13
10 Multidisciplinary Sciences 0 0% 0% 3

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 KRASOVSKII MATH MECH 277702 3% 30% 32
2 MATEMAT LICADA TELEMAT 69534 1% 16% 15
3 MATEMAT LICADA 4 52623 2% 7% 26
4 MATH MECH 45837 7% 2% 75
5 ECONOMETR OR 42580 2% 9% 17
6 AA KHARKEVICH PROBLEMS INFORMAT TRANSMISS 38334 0% 67% 2
7 RADIOELECT INFORMAT TECHNOL 35682 1% 21% 6
8 MATH INF 31174 1% 14% 8
9 CHEM 415 28751 0% 100% 1
10 CIMNE C3 28751 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 EUROPEAN JOURNAL OF COMBINATORICS 165677 13% 4% 133
2 JOURNAL OF ALGEBRAIC COMBINATORICS 152330 7% 7% 77
3 JOURNAL OF COMBINATORIAL THEORY SERIES B 51754 6% 3% 64
4 DOKLADY MATHEMATICS 51425 7% 2% 74
5 GRAPHS AND COMBINATORICS 35524 5% 3% 49
6 LINEAR ALGEBRA AND ITS APPLICATIONS 35373 11% 1% 119
7 DISCRETE MATHEMATICS 22115 9% 1% 95
8 DESIGNS CODES AND CRYPTOGRAPHY 15975 3% 2% 31
9 JOURNAL OF COMBINATORIAL THEORY SERIES A 11313 3% 1% 36
10 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 7925 2% 2% 17

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 DISTANCE REGULAR GRAPH 4343696 18% 79% 192 Search DISTANCE+REGULAR+GRAPH Search DISTANCE+REGULAR+GRAPH
2 LEONARD PAIR 2334003 8% 96% 85 Search LEONARD+PAIR Search LEONARD+PAIR
3 TRIDIAGONAL PAIR 1840506 6% 98% 65 Search TRIDIAGONAL+PAIR Search TRIDIAGONAL+PAIR
4 TERWILLIGER ALGEBRA 1031122 4% 78% 46 Search TERWILLIGER+ALGEBRA Search TERWILLIGER+ALGEBRA
5 ASSOCIATION SCHEME 701866 8% 28% 87 Search ASSOCIATION+SCHEME Search ASSOCIATION+SCHEME
6 Q RACAH POLYNOMIAL 698647 3% 90% 27 Search Q+RACAH+POLYNOMIAL Search Q+RACAH+POLYNOMIAL
7 SUBCONSTITUENT ALGEBRA 546272 2% 100% 19 Search SUBCONSTITUENT+ALGEBRA Search SUBCONSTITUENT+ALGEBRA
8 COMPLETELY REGULAR CODE 487064 2% 71% 24 Search COMPLETELY+REGULAR+CODE Search COMPLETELY+REGULAR+CODE
9 Q POLYNOMIAL 472863 2% 66% 25 Search Q+POLYNOMIAL Search Q+POLYNOMIAL
10 LEONARD TRIPLE 431267 1% 100% 15 Search LEONARD+TRIPLE Search LEONARD+TRIPLE

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 VAN DAM, ER , KOOLEN, JH , TANAKA, H , (2016) DISTANCE-REGULAR GRAPHS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. . ISSUE . P. 1 -156 369 75% 0
2 FUNK-NEUBAUER, D , (2013) BIDIAGONAL PAIRS, THE LIE ALGEBRA SL(2), AND THE QUANTUM GROUP U-Q(SL(2)).JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 12. ISSUE 5. P. - 69 96% 3
3 NOMURA, K , TERWILLIGER, P , (2010) ON THE SHAPE OF A TRIDIAGONAL PAIR.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 432. ISSUE 2-3. P. 615 -636 69 88% 3
4 ITO, T , NOMURA, K , TERWILLIGER, P , (2011) A CLASSIFICATION OF SHARP TRIDIAGONAL PAIRS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 435. ISSUE 8. P. 1857 -1884 58 83% 4
5 NOMURA, K , TERWILLIGER, P , (2008) THE STRUCTURE OF A TRIDIAGONAL PAIR.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 429. ISSUE 7. P. 1647-1662 51 98% 8
6 FUNK-NEUBAUER, D , (2009) TRIDIAGONAL PAIRS AND THE Q-TETRAHEDRON ALGEBRA.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 431. ISSUE 5-7. P. 903-925 46 100% 9
7 TERWILLIGER, P , (2017) LEONARD TRIPLES OF Q-RACAH TYPE AND THEIR PSEUDO INTERTWINERS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 515. ISSUE . P. 145 -174 39 100% 0
8 NOMURA, K , TERWILLIGER, P , (2008) SHARP TRIDIAGONAL PAIRS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 429. ISSUE 1. P. 79-99 48 98% 8
9 NOMURA, K , TERWILLIGER, P , (2008) TOWARDS A CLASSIFICATION OF THE TRIDIAGONAL PAIRS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 429. ISSUE 2-3. P. 503-518 47 98% 5
10 NOMURA, K , TERWILLIGER, P , (2009) TRANSITION MAPS BETWEEN THE 24 BASES FOR A LEONARD PAIR.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 431. ISSUE 5-7. P. 571-593 45 98% 1

Classes with closest relation at Level 1


Rank Class id link
1 20854 ASSOCIATION SCHEME//TABLE ALGEBRAS//MODULAR ADJACENCY ALGEBRAS
2 26329 MATH INF//NORMALIZED MATCHING PROPERTY//LYM PROPERTY
3 9115 RELATIVE DIFFERENCE SET//SYMMETRIC DESIGN//DIFFERENCE SET
4 12149 DUAL POLAR SPACE//NEAR POLYGON//PURE MATH COMP ALGEBRA
5 32775 PERMUTATION DECODING//PD SET//ANTIBLOCKING DECODING
6 14984 GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN
7 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
8 24118 PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES
9 7963 CAYLEY GRAPH//ARC TRANSITIVE GRAPH//SYMMETRIC GRAPH
10 5707 LAPLACIAN MATRIX//SPECTRAL RADIUS//COSPECTRAL GRAPHS

Go to start page