Class information for:
Level 1: DIAGONAL HARMONICS//AD NILPOTENT IDEAL//SHUFFLE CONJECTURE

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
170 3       MATHEMATICS//JOURNAL OF ALGEBRA//MATH 59224
449 2             MATHEMATICS//JOURNAL OF ALGEBRA//TRANSFORMATION GROUPS 16374
17497 1                   DIAGONAL HARMONICS//AD NILPOTENT IDEAL//SHUFFLE CONJECTURE 624

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIAGONAL HARMONICS authKW 606077 2% 100% 12
2 AD NILPOTENT IDEAL authKW 509272 2% 92% 11
3 SHUFFLE CONJECTURE authKW 353545 1% 100% 7
4 CYCLIC SIEVING PHENOMENON authKW 340914 1% 75% 9
5 ABELIAN IDEAL authKW 336703 2% 67% 10
6 MACDONALD POLYNOMIALS authKW 325391 4% 26% 25
7 SUBDIVISION ALGEBRA authKW 303039 1% 100% 6
8 CYCLIC SIEVING authKW 293851 1% 73% 8
9 NONCROSSING PARTITION authKW 266722 2% 41% 13
10 NONNESTING PARTITIONS authKW 259746 1% 86% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 26870 88% 0% 552
2 Mathematics, Applied 2668 27% 0% 166
3 Computer Science, Theory & Methods 16 2% 0% 13
4 Social Sciences, Mathematical Methods 1 0% 0% 2
5 Art 1 0% 0% 1
6 Computer Science, Software Engineering 0 1% 0% 4
7 Mathematics, Interdisciplinary Applications -0 0% 0% 2
8 Computer Science, Interdisciplinary Applications -1 0% 0% 2
9 Physics, Mathematical -2 0% 0% 2
10 Physics, Nuclear -3 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IST G CASTELNUOVO 123732 1% 35% 7
2 MATH FIS 67341 0% 67% 2
3 LACIM 54691 2% 8% 13
4 COMINATOIRE INFORMAT MATH 50506 0% 100% 1
5 DIPARTIMENT SCI 50506 0% 100% 1
6 INFORMAT PRACT MATH 50506 0% 100% 1
7 ZAHLENTHEORIE 50506 0% 100% 1
8 POLO REG COMO 34961 0% 23% 3
9 COMBINATOIRE INFORMAT MATH LACIM 28858 0% 29% 2
10 DIPARTIMENTO MATEMAT IST G CASTELNUOVO 25252 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRAIC COMBINATORICS 76856 7% 4% 42
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 61924 10% 2% 64
3 ELECTRONIC JOURNAL OF COMBINATORICS 50582 8% 2% 51
4 ANNALS OF COMBINATORICS 44266 3% 4% 20
5 EUROPEAN JOURNAL OF COMBINATORICS 37000 8% 2% 48
6 ADVANCES IN APPLIED MATHEMATICS 16507 4% 1% 22
7 DISCRETE MATHEMATICS 10570 8% 0% 50
8 ADVANCES IN MATHEMATICS 9854 5% 1% 31
9 CIMAISE 5049 0% 10% 1
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 4114 3% 1% 16

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DIAGONAL HARMONICS 606077 2% 100% 12 Search DIAGONAL+HARMONICS Search DIAGONAL+HARMONICS
2 AD NILPOTENT IDEAL 509272 2% 92% 11 Search AD+NILPOTENT+IDEAL Search AD+NILPOTENT+IDEAL
3 SHUFFLE CONJECTURE 353545 1% 100% 7 Search SHUFFLE+CONJECTURE Search SHUFFLE+CONJECTURE
4 CYCLIC SIEVING PHENOMENON 340914 1% 75% 9 Search CYCLIC+SIEVING+PHENOMENON Search CYCLIC+SIEVING+PHENOMENON
5 ABELIAN IDEAL 336703 2% 67% 10 Search ABELIAN+IDEAL Search ABELIAN+IDEAL
6 MACDONALD POLYNOMIALS 325391 4% 26% 25 Search MACDONALD+POLYNOMIALS Search MACDONALD+POLYNOMIALS
7 SUBDIVISION ALGEBRA 303039 1% 100% 6 Search SUBDIVISION+ALGEBRA Search SUBDIVISION+ALGEBRA
8 CYCLIC SIEVING 293851 1% 73% 8 Search CYCLIC+SIEVING Search CYCLIC+SIEVING
9 NONCROSSING PARTITION 266722 2% 41% 13 Search NONCROSSING+PARTITION Search NONCROSSING+PARTITION
10 NONNESTING PARTITIONS 259746 1% 86% 6 Search NONNESTING+PARTITIONS Search NONNESTING+PARTITIONS

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 8009 BRUHAT ORDER//SCHUBERT POLYNOMIALS//SCHUBERT VARIETIES
2 12655 RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX
3 23393 LITTLEWOOD RICHARDSON COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY//KRONECKER COEFFICIENTS
4 7868 PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION
5 11610 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
6 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
7 15913 BRAID GROUP//GARSIDE GROUPS//ARTIN GROUPS
8 27389 UNIVERSAL RESOLUTION//GELFAND MODEL//ENNOLA DUALITY
9 20630 SEQUENTIAL DYNAMICAL SYSTEMS//CHIP FIRING//SANDPILE GROUP
10 10026 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES

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