Class information for:
Level 1: MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH

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
106 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//MATH 74336
1988 2             MONOMIAL IDEALS//NUMERICAL SEMIGROUP//EDGE IDEAL 5956
6895 1                   MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH 1457

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MONOMIAL IDEALS authKW 2291068 10% 72% 147
2 EDGE IDEAL authKW 1452688 5% 88% 76
3 STANLEY DEPTH authKW 1449185 5% 100% 67
4 HILBERT FUNCTION authKW 706664 5% 41% 79
5 WEAK LEFSCHETZ PROPERTY authKW 479176 2% 92% 24
6 LEVEL ALGEBRA authKW 433574 1% 95% 21
7 STANLEY DECOMPOSITIONS authKW 371820 1% 90% 19
8 GRADED BETTI NUMBERS authKW 357552 2% 72% 23
9 GENERIC INITIAL IDEAL authKW 355733 2% 66% 25
10 VERTEX DECOMPOSABLE authKW 350396 1% 90% 18

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 72328 95% 0% 1382
2 Mathematics, Applied 6108 26% 0% 384
3 Computer Science, Theory & Methods 195 4% 0% 56
4 Computer Science, Interdisciplinary Applications 1 1% 0% 14
5 Computer Science, Software Engineering -1 0% 0% 5
6 Computer Science, Hardware & Architecture -1 0% 0% 2
7 Operations Research & Management Science -4 0% 0% 2
8 Statistics & Probability -7 0% 0% 1
9 Physics, Mathematical -9 0% 0% 1
10 Physics, Multidisciplinary -26 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CULTURE EDUC 116518 2% 18% 30
2 FB MATH INFORMAT 6 90234 1% 38% 11
3 SUNG BUK KU 69213 0% 80% 4
4 WU WEN TSUN MATH CAS 64889 0% 100% 3
5 HBEREICH MATH INFORMAT 51949 3% 5% 50
6 GRP PROJECT PD 3 0235 43259 0% 100% 2
7 MATH INFORMAT FB 6 43259 0% 100% 2
8 SUNG BOOK KU 43259 0% 100% 2
9 PURE PL MATH 36474 3% 4% 45
10 MATH INFORMAT FB6 34603 0% 40% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF COMMUTATIVE ALGEBRA 260680 4% 23% 53
2 COMMUNICATIONS IN ALGEBRA 80020 13% 2% 191
3 JOURNAL OF PURE AND APPLIED ALGEBRA 64699 9% 2% 133
4 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 64141 2% 9% 32
5 JOURNAL OF ALGEBRA 56327 13% 1% 186
6 JOURNAL OF ALGEBRAIC COMBINATORICS 39435 3% 4% 46
7 COLLECTANEA MATHEMATICA 15670 1% 5% 15
8 ILLINOIS JOURNAL OF MATHEMATICS 10614 2% 2% 30
9 ALGEBRA COLLOQUIUM 10484 2% 2% 24
10 MATHEMATICA SCANDINAVICA 8122 2% 2% 23

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MONOMIAL IDEALS 2291068 10% 72% 147 Search MONOMIAL+IDEALS Search MONOMIAL+IDEALS
2 EDGE IDEAL 1452688 5% 88% 76 Search EDGE+IDEAL Search EDGE+IDEAL
3 STANLEY DEPTH 1449185 5% 100% 67 Search STANLEY+DEPTH Search STANLEY+DEPTH
4 HILBERT FUNCTION 706664 5% 41% 79 Search HILBERT+FUNCTION Search HILBERT+FUNCTION
5 WEAK LEFSCHETZ PROPERTY 479176 2% 92% 24 Search WEAK+LEFSCHETZ+PROPERTY Search WEAK+LEFSCHETZ+PROPERTY
6 LEVEL ALGEBRA 433574 1% 95% 21 Search LEVEL+ALGEBRA Search LEVEL+ALGEBRA
7 STANLEY DECOMPOSITIONS 371820 1% 90% 19 Search STANLEY+DECOMPOSITIONS Search STANLEY+DECOMPOSITIONS
8 GRADED BETTI NUMBERS 357552 2% 72% 23 Search GRADED+BETTI+NUMBERS Search GRADED+BETTI+NUMBERS
9 GENERIC INITIAL IDEAL 355733 2% 66% 25 Search GENERIC+INITIAL+IDEAL Search GENERIC+INITIAL+IDEAL
10 VERTEX DECOMPOSABLE 350396 1% 90% 18 Search VERTEX+DECOMPOSABLE Search VERTEX+DECOMPOSABLE

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 13111 TORIC IDEAL//MARKOV BASIS//LATTICE IDEALS
2 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
3 15301 FAT POINTS//SECANT VARIETIES//SESHADRI CONSTANT
4 6809 REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER
5 3388 GONALITY//BRILL NOETHER THEORY//LINEAR SERIES
6 17742 DISCRETE MORSE THEORY//HOM COMPLEX//LOCAL CHROMATIC NUMBER
7 14589 LOCAL COHOMOLOGY//LOCAL COHOMOLOGY MODULES//COFINITE MODULES
8 27619 KONIG EGERVARY GRAPH//WELL COVERED GRAPH//MAXIMAL INDEPENDENT SET
9 6128 JOURNAL OF SYMBOLIC COMPUTATION//GROBNER BASES//POLYNOMIAL SYSTEM SOLVING
10 22622 SMALL COVER//QUASITORIC MANIFOLD//POLYHEDRAL PRODUCT

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