Class information for:
Level 1: RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
1756 2             STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION 6787
12655 1                   RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX 920

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RIORDAN ARRAYS authKW 1238700 5% 80% 45
2 RIORDAN GROUP authKW 755055 3% 96% 23
3 PASCAL MATRIX authKW 703837 4% 62% 33
4 RIORDAN MATRIX authKW 513839 2% 100% 15
5 CATALAN NUMBERS authKW 496764 6% 25% 59
6 DYCK PATH authKW 422768 4% 34% 36
7 LATTICE PATHS authKW 361873 5% 25% 43
8 UMBRAL CALCULUS authKW 254783 3% 28% 27
9 STIRLING MATRIX authKW 243596 1% 89% 8
10 NARAYANA NUMBERS authKW 226677 2% 44% 15

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 25014 71% 0% 650
2 Mathematics, Applied 9404 40% 0% 371
3 Statistics & Probability 1052 9% 0% 80
4 Computer Science, Theory & Methods 88 3% 0% 31
5 Logic 15 0% 0% 3
6 Computer Science, Cybernetics 6 0% 0% 3
7 Computer Science, Software Engineering 6 1% 0% 10
8 Classics 4 0% 0% 2
9 History & Philosophy of Science 3 0% 0% 3
10 Physics, Mathematical 1 1% 0% 10

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ET SUPER INGENIEROS MONTES 137020 1% 67% 6
2 GEN CURRICULUM 68512 0% 100% 2
3 ROME BRANCH 45669 0% 33% 4
4 TJKLC 45669 0% 33% 4
5 CHALMERS TEK HOGSKOLA 34256 0% 100% 1
6 DIPARTIMENTO MATEMAT INFORMAT TEOR 34256 0% 100% 1
7 DIPARTIMENTO SIST IMFORMAT 34256 0% 100% 1
8 E CARTAN LORIA 34256 0% 100% 1
9 FUNCT ANAL LINEAR STRUCT PLICAT CEAFEL 34256 0% 100% 1
10 GRP LINEAR ALGEBRA COMBINATORIAL STRUCT 34256 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DISCRETE MATHEMATICS 58089 15% 1% 142
2 ELECTRONIC JOURNAL OF COMBINATORICS 25500 5% 2% 44
3 LINEAR ALGEBRA AND ITS APPLICATIONS 22021 9% 1% 87
4 EUROPEAN JOURNAL OF COMBINATORICS 16532 4% 1% 39
5 FIBONACCI QUARTERLY 15266 3% 2% 25
6 JOURNAL OF COMBINATORIAL THEORY SERIES A 12517 4% 1% 35
7 AMERICAN MATHEMATICAL MONTHLY 10358 3% 1% 29
8 ADVANCES IN APPLIED MATHEMATICS 10187 2% 1% 21
9 ARS COMBINATORIA 9217 3% 1% 32
10 JOURNAL OF STATISTICAL PLANNING AND INFERENCE 6771 4% 1% 35

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RIORDAN ARRAYS 1238700 5% 80% 45 Search RIORDAN+ARRAYS Search RIORDAN+ARRAYS
2 RIORDAN GROUP 755055 3% 96% 23 Search RIORDAN+GROUP Search RIORDAN+GROUP
3 PASCAL MATRIX 703837 4% 62% 33 Search PASCAL+MATRIX Search PASCAL+MATRIX
4 RIORDAN MATRIX 513839 2% 100% 15 Search RIORDAN+MATRIX Search RIORDAN+MATRIX
5 CATALAN NUMBERS 496764 6% 25% 59 Search CATALAN+NUMBERS Search CATALAN+NUMBERS
6 DYCK PATH 422768 4% 34% 36 Search DYCK+PATH Search DYCK+PATH
7 LATTICE PATHS 361873 5% 25% 43 Search LATTICE+PATHS Search LATTICE+PATHS
8 UMBRAL CALCULUS 254783 3% 28% 27 Search UMBRAL+CALCULUS Search UMBRAL+CALCULUS
9 STIRLING MATRIX 243596 1% 89% 8 Search STIRLING+MATRIX Search STIRLING+MATRIX
10 NARAYANA NUMBERS 226677 2% 44% 15 Search NARAYANA+NUMBERS Search NARAYANA+NUMBERS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 25262 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
2 7868 PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION
3 20679 STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS
4 17497 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//SHUFFLE CONJECTURE
5 34832 CHEMICAL QUEUE//MACLAURINS EXPANSION//LATTICE PATHS COMBINATORICS
6 30651 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
7 17621 ALTERNATING SIGN MATRICES//AZTEC DIAMOND//PLANE PARTITIONS
8 36047 NORMAL SUBGROUP LATTICE//SUBGROUP COMMUTATIVITY DEGREE//SOLITARY SUBGROUP
9 22391 ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP
10 16631 GRAY CODE//ROTATION DISTANCE//BINARY TREE

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