Class information for:
Level 1: GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA

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
11610 1                   GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA 995

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GROBNER SHIRSHOV BASIS authKW 1158328 5% 76% 48
2 QUASI SYMMETRIC FUNCTIONS authKW 930885 5% 57% 52
3 ROTA BAXTER ALGEBRA authKW 783449 3% 85% 29
4 DENDRIFORM ALGEBRA authKW 764689 3% 93% 26
5 DESCENT ALGEBRA authKW 709479 3% 80% 28
6 COMBINATORIAL HOPF ALGEBRAS authKW 651565 2% 86% 24
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS authKW 605644 3% 68% 28
8 PRE LIE ALGEBRA authKW 497919 3% 60% 26
9 HOPF ALGEBRA authKW 370034 9% 13% 93
10 ROTA BAXTER OPERATORS authKW 368557 2% 73% 16

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 25961 69% 0% 689
2 Physics, Mathematical 3945 18% 0% 179
3 Mathematics, Applied 3304 24% 0% 235
4 Physics, Particles & Fields 198 6% 0% 55
5 Computer Science, Theory & Methods 49 3% 0% 26
6 Physics, Multidisciplinary 41 5% 0% 47
7 Physics, Nuclear 24 2% 0% 22
8 Literary Theory & Criticism 2 0% 0% 1
9 Computer Science, Software Engineering 1 1% 0% 7
10 Logic 1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GASPARD MONGE 164469 4% 13% 40
2 ALGEBRA SYST ANAL 158368 1% 100% 5
3 UMR6056 72393 0% 57% 4
4 FRE3111 71264 0% 75% 3
5 FRANCO RUSSE MATH 63347 0% 100% 2
6 ZESPOL MATEMAT FIZYKI 63347 0% 100% 2
7 UMR7590IPGP 42230 0% 67% 2
8 INFORMAT GASPARD MONGE 41921 1% 9% 14
9 PL MATH COMPLEX SYST 41668 1% 26% 5
10 ADV PROFESS EDUC 31674 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF ALGEBRAIC COMBINATORICS 95100 6% 5% 59
2 COMMUNICATIONS IN NUMBER THEORY AND PHYSICS 14899 1% 5% 9
3 LETTERS IN MATHEMATICAL PHYSICS 14820 4% 1% 39
4 ADVANCES IN MATHEMATICS 11879 4% 1% 43
5 ANNALS OF COMBINATORICS 11713 1% 3% 13
6 JOURNAL OF ALGEBRA 11620 7% 1% 70
7 JOURNAL OF COMBINATORIAL THEORY SERIES A 10280 3% 1% 33
8 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 6927 2% 1% 18
9 ADVANCES IN APPLIED MATHEMATICS 6913 2% 1% 18
10 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 6485 2% 1% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GROBNER SHIRSHOV BASIS 1158328 5% 76% 48 Search GROBNER+SHIRSHOV+BASIS Search GROBNER+SHIRSHOV+BASIS
2 QUASI SYMMETRIC FUNCTIONS 930885 5% 57% 52 Search QUASI+SYMMETRIC+FUNCTIONS Search QUASI+SYMMETRIC+FUNCTIONS
3 ROTA BAXTER ALGEBRA 783449 3% 85% 29 Search ROTA+BAXTER+ALGEBRA Search ROTA+BAXTER+ALGEBRA
4 DENDRIFORM ALGEBRA 764689 3% 93% 26 Search DENDRIFORM+ALGEBRA Search DENDRIFORM+ALGEBRA
5 DESCENT ALGEBRA 709479 3% 80% 28 Search DESCENT+ALGEBRA Search DESCENT+ALGEBRA
6 COMBINATORIAL HOPF ALGEBRAS 651565 2% 86% 24 Search COMBINATORIAL+HOPF+ALGEBRAS Search COMBINATORIAL+HOPF+ALGEBRAS
7 NONCOMMUTATIVE SYMMETRIC FUNCTIONS 605644 3% 68% 28 Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS Search NONCOMMUTATIVE+SYMMETRIC+FUNCTIONS
8 PRE LIE ALGEBRA 497919 3% 60% 26 Search PRE+LIE+ALGEBRA Search PRE+LIE+ALGEBRA
9 HOPF ALGEBRA 370034 9% 13% 93 Search HOPF+ALGEBRA Search HOPF+ALGEBRA
10 ROTA BAXTER OPERATORS 368557 2% 73% 16 Search ROTA+BAXTER+OPERATORS Search ROTA+BAXTER+OPERATORS

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 17497 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//SHUFFLE CONJECTURE
2 11788 OPERADS//STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA
3 25262 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
4 26971 SUPERCHARACTERS//ALGEBRA GROUPS//FINITE UNIPOTENT GROUP
5 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
6 32721 HOM LIE ALGEBRA//MONOIDAL HOM HOPF ALGEBRA//HOM HOPF ALGEBRA
7 24020 RENNER MONOID//REDUCTIVE MONOID//ALGEBRAIC MONOIDS
8 23393 LITTLEWOOD RICHARDSON COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY//KRONECKER COEFFICIENTS
9 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
10 7868 PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION

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