Class information for:
Level 1: PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION

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
7868 1                   PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION 1344

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PATTERN AVOIDANCE authKW 692524 4% 52% 57
2 MAJOR INDEX authKW 622798 2% 80% 33
3 RESTRICTED PERMUTATION authKW 577779 2% 79% 31
4 PATTERN AVOIDING PERMUTATION authKW 570354 2% 81% 30
5 PERMUTATION STATISTICS authKW 541943 3% 66% 35
6 FORBIDDEN SUBSEQUENCES authKW 423241 1% 95% 19
7 DESCENTS authKW 344544 2% 64% 23
8 ELECTRONIC JOURNAL OF COMBINATORICS journal 319388 14% 7% 188
9 WILF EQUIVALENCE authKW 281380 1% 100% 12
10 ADVANCES IN APPLIED MATHEMATICS journal 276377 10% 9% 132

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 40548 74% 0% 999
2 Mathematics, Applied 13897 41% 0% 545
3 Computer Science, Theory & Methods 142 3% 0% 47
4 Computer Science, Software Engineering 52 2% 0% 26
5 Statistics & Probability 48 2% 0% 27
6 Logic 9 0% 0% 3
7 Philosophy 0 0% 0% 4
8 Computer Science, Information Systems 0 1% 0% 10
9 Physics, Mathematical -0 1% 0% 10
10 History & Philosophy of Science -0 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMBINATOR 113809 4% 8% 60
2 LPMC TJKLC 89035 3% 10% 38
3 AORC 46897 0% 100% 2
4 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 35359 1% 12% 13
5 LIX UMR 7161 26376 0% 38% 3
6 BORDELAIS RECH RI 23448 0% 100% 1
7 BUR 231 23448 0% 100% 1
8 BUR 254 23448 0% 100% 1
9 CCICADA DIMACS 23448 0% 100% 1
10 CNRS 2000 23448 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ELECTRONIC JOURNAL OF COMBINATORICS 319388 14% 7% 188
2 ADVANCES IN APPLIED MATHEMATICS 276377 10% 9% 132
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 160074 11% 5% 151
4 EUROPEAN JOURNAL OF COMBINATORICS 133961 10% 4% 134
5 ANNALS OF COMBINATORICS 128466 4% 11% 50
6 DISCRETE MATHEMATICS 72667 14% 2% 192
7 ARS COMBINATORIA 9358 3% 1% 39
8 DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE 9148 1% 3% 13
9 JOURNAL OF ALGEBRAIC COMBINATORICS 6525 1% 2% 18
10 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 5250 1% 3% 8

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 PATTERN AVOIDANCE 692524 4% 52% 57 Search PATTERN+AVOIDANCE Search PATTERN+AVOIDANCE
2 MAJOR INDEX 622798 2% 80% 33 Search MAJOR+INDEX Search MAJOR+INDEX
3 RESTRICTED PERMUTATION 577779 2% 79% 31 Search RESTRICTED+PERMUTATION Search RESTRICTED+PERMUTATION
4 PATTERN AVOIDING PERMUTATION 570354 2% 81% 30 Search PATTERN+AVOIDING+PERMUTATION Search PATTERN+AVOIDING+PERMUTATION
5 PERMUTATION STATISTICS 541943 3% 66% 35 Search PERMUTATION+STATISTICS Search PERMUTATION+STATISTICS
6 FORBIDDEN SUBSEQUENCES 423241 1% 95% 19 Search FORBIDDEN+SUBSEQUENCES Search FORBIDDEN+SUBSEQUENCES
7 DESCENTS 344544 2% 64% 23 Search DESCENTS Search DESCENTS
8 WILF EQUIVALENCE 281380 1% 100% 12 Search WILF+EQUIVALENCE Search WILF+EQUIVALENCE
9 PERMUTATION CLASS 257932 1% 100% 11 Search PERMUTATION+CLASS Search PERMUTATION+CLASS
10 PERMUTATION PATTERNS 242007 1% 61% 17 Search PERMUTATION+PATTERNS Search PERMUTATION+PATTERNS

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 12655 RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX
2 20679 STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS
3 20719 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
4 17497 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//SHUFFLE CONJECTURE
5 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
6 17621 ALTERNATING SIGN MATRICES//AZTEC DIAMOND//PLANE PARTITIONS
7 25262 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
8 8009 BRUHAT ORDER//SCHUBERT POLYNOMIALS//SCHUBERT VARIETIES
9 11610 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
10 23393 LITTLEWOOD RICHARDSON COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY//KRONECKER COEFFICIENTS

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