Class information for:
Level 1: DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19219 516 17.3 42%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
19219 1                   DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON 516

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 DIAGONAL HARMONICS authKW 710111 2% 100% 12
2 AD NILPOTENT IDEAL authKW 596689 2% 92% 11
3 CYCLIC SIEVING PHENOMENON authKW 493130 2% 83% 10
4 MACDONALD POLYNOMIALS authKW 434777 5% 28% 26
5 ABELIAN IDEAL authKW 394500 2% 67% 10
6 NONNESTING PARTITIONS authKW 304332 1% 86% 6
7 GARSIA HAIMAN MODULES authKW 295880 1% 100% 5
8 LLT POLYNOMIALS authKW 295880 1% 100% 5
9 SHUFFLE CONJECTURE authKW 295880 1% 100% 5
10 CYCLIC SIEVING authKW 289958 1% 70% 7

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 20338 84% 0% 436
2 Mathematics, Applied 1873 25% 0% 127
3 Physics, Mathematical 126 5% 0% 26
4 Computer Science, Software Engineering 2 1% 0% 5
5 Art 1 0% 0% 1
6 Computer Science, Theory & Methods 0 1% 0% 4
7 Computer Science, Interdisciplinary Applications -0 1% 0% 3
8 Physics, Particles & Fields -2 0% 0% 2
9 Physics, Multidisciplinary -2 1% 0% 5
10 Physics, Nuclear -3 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 IST G CASTELNUOVO 106508 1% 30% 6
2 COMINATOIRE INFORMAT MATH 59176 0% 100% 1
3 DIPARTIMENT SCI 59176 0% 100% 1
4 DIPARTIMENTO MATEMAT IST G CASTELNUOVO 29587 0% 50% 1
5 MATH PROBLEMS INFORMAT 29587 0% 50% 1
6 LACIM 24577 2% 5% 8
7 GASPART MONGE 19724 0% 33% 1
8 POLO REG COMO 19722 0% 17% 2
9 TU KAISERSLAUTERN 14792 0% 25% 1
10 PHYS SCI MATH PHYS 11834 0% 20% 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 JOURNAL OF ALGEBRAIC COMBINATORICS 80432 8% 3% 39
2 ANNALS OF COMBINATORICS 48848 4% 4% 19
3 JOURNAL OF COMBINATORIAL THEORY SERIES A 48786 10% 2% 52
4 ELECTRONIC JOURNAL OF COMBINATORICS 38007 8% 2% 40
5 EUROPEAN JOURNAL OF COMBINATORICS 19707 6% 1% 32
6 ADVANCES IN APPLIED MATHEMATICS 13325 3% 1% 18
7 ADVANCES IN MATHEMATICS 11364 6% 1% 30
8 DISCRETE MATHEMATICS 7659 8% 0% 39
9 CIMAISE 5916 0% 10% 1
10 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 5697 3% 1% 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 DIAGONAL HARMONICS 710111 2% 100% 12 Search DIAGONAL+HARMONICS Search DIAGONAL+HARMONICS
2 AD NILPOTENT IDEAL 596689 2% 92% 11 Search AD+NILPOTENT+IDEAL Search AD+NILPOTENT+IDEAL
3 CYCLIC SIEVING PHENOMENON 493130 2% 83% 10 Search CYCLIC+SIEVING+PHENOMENON Search CYCLIC+SIEVING+PHENOMENON
4 MACDONALD POLYNOMIALS 434777 5% 28% 26 Search MACDONALD+POLYNOMIALS Search MACDONALD+POLYNOMIALS
5 ABELIAN IDEAL 394500 2% 67% 10 Search ABELIAN+IDEAL Search ABELIAN+IDEAL
6 NONNESTING PARTITIONS 304332 1% 86% 6 Search NONNESTING+PARTITIONS Search NONNESTING+PARTITIONS
7 GARSIA HAIMAN MODULES 295880 1% 100% 5 Search GARSIA+HAIMAN+MODULES Search GARSIA+HAIMAN+MODULES
8 LLT POLYNOMIALS 295880 1% 100% 5 Search LLT+POLYNOMIALS Search LLT+POLYNOMIALS
9 SHUFFLE CONJECTURE 295880 1% 100% 5 Search SHUFFLE+CONJECTURE Search SHUFFLE+CONJECTURE
10 CYCLIC SIEVING 289958 1% 70% 7 Search CYCLIC+SIEVING Search CYCLIC+SIEVING

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 ARMSTRONG, D , LOEHR, NA , WARRINGTON, GS , (2016) RATIONAL PARKING FUNCTIONS AND CATALAN NUMBERS.ANNALS OF COMBINATORICS. VOL. 20. ISSUE 1. P. 21 -58 18 100% 1
2 LUO, L , (2012) ABELIAN IDEALS WITH GIVEN DIMENSION IN BOREL SUBALGEBRAS.ALGEBRA COLLOQUIUM. VOL. 19. ISSUE 4. P. 755 -770 16 94% 0
3 LOEHR, NA , WARRINGTON, GS , (2007) SQUARE Q,T-LATTICE PATHS AND DEL(P(N)).TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 359. ISSUE 2. P. 649 -669 17 100% 1
4 LOEHR, NA , WARRINGTON, GS , (2008) NESTED QUANTUM DYCK PATHS AND DEL(S(LAMBDA)).INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE . P. - 17 94% 0
5 NATH, R , SELLERS, JA , (2017) ABACI STRUCTURES OF (S, MS +/- 1)-CORE PARTITIONS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 24. ISSUE 1. P. - 12 100% 0
6 ARMSTRONG, D , LOEHR, NA , WARRINGTON, GS , (2015) SWEEP MAPS: A CONTINUOUS FAMILY OF SORTING ALGORITHMS.ADVANCES IN MATHEMATICS. VOL. 284. ISSUE . P. 159 -185 13 93% 1
7 WANG, VY , (2016) SIMULTANEOUS CORE PARTITIONS: PARAMETERIZATIONS AND SUMS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 23. ISSUE 1. P. - 12 92% 1
8 LEE, K , LI, L , LOEHR, NA , (2013) LIMITS OF MODIFIED HIGHER Q, T-CATALAN NUMBERS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 3. P. - 14 88% 0
9 PANYUSHEV, DI , (2016) NORMALISERS OF ABELIAN IDEALS OF A BOREL SUBALGEBRA AND Z-GRADINGS OF A SIMPLE LIE ALGEBRA.JOURNAL OF LIE THEORY. VOL. 26. ISSUE 3. P. 659 -672 11 100% 0
10 LOEHR, NA , (2017) VARIANTS OF THE RSK ALGORITHM ADAPTED TO COMBINATORIAL MACDONALD POLYNOMIALS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 146. ISSUE . P. 129 -164 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
2 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
3 5156 HECKE ALGEBRA//BRAUER ALGEBRA//CELLULAR ALGEBRAS
4 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
5 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
6 21759 LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY
7 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
8 14133 CD INDEX//EULERIAN POSET//FLAG F VECTOR
9 12903 HYPERPLANE ARRANGEMENT//RESONANCE VARIETY//CHARACTERISTIC VARIETY
10 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND

Go to start page