Class information for:
Level 1: TORIC IDEAL//MARKOV BASIS//LATTICE IDEALS

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
13111 1                   TORIC IDEAL//MARKOV BASIS//LATTICE IDEALS 890

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TORIC IDEAL authKW 1814893 7% 83% 62
2 MARKOV BASIS authKW 965740 3% 91% 30
3 LATTICE IDEALS authKW 679875 3% 80% 24
4 BINOMIAL EDGE IDEALS authKW 672803 2% 100% 19
5 MONOMIAL CURVE authKW 660980 3% 67% 28
6 BINOMIAL IDEALS authKW 633603 3% 62% 29
7 GRAVER BASIS authKW 615832 2% 87% 20
8 MARKOV BASES authKW 503615 2% 89% 16
9 ALGEBRAIC STATISTICS authKW 340456 3% 38% 25
10 SET THEORETIC COMPLETE INTERSECTION authKW 312576 2% 55% 16

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 25819 73% 0% 649
2 Mathematics, Applied 5665 32% 0% 286
3 Statistics & Probability 1275 10% 0% 86
4 Computer Science, Theory & Methods 770 9% 0% 77
5 Operations Research & Management Science 317 5% 0% 42
6 Computer Science, Software Engineering 45 2% 0% 19
7 Mathematical & Computational Biology 12 1% 0% 9
8 Social Sciences, Mathematical Methods 2 0% 0% 3
9 Computer Science, Interdisciplinary Applications 1 1% 0% 9
10 Mathematics, Interdisciplinary Applications 1 1% 0% 6

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI COURSE 147543 1% 83% 5
2 CNRSURA 188 113313 0% 80% 4
3 GRP PROJECT PN II RU PD 2012 3 0656 106232 0% 100% 3
4 PURE PL MATH 76783 6% 4% 51
5 GRP LATTICE POLYTOPES 63737 0% 60% 3
6 PROJECT ID PCE 2011 1023 47213 0% 67% 2
7 SIM STOILOW MATH 45525 0% 43% 3
8 ENGN INFORMACIO COMMUN 35411 0% 100% 1
9 ENGN SCI ENVIRONM MATH MODELING 35411 0% 100% 1
10 ENS LYONCNRSUCBLENRIA 35411 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF COMMUTATIVE ALGEBRA 21862 1% 5% 12
2 JOURNAL OF ALGEBRAIC COMBINATORICS 19063 3% 2% 25
3 COMMUNICATIONS IN ALGEBRA 15585 7% 1% 66
4 JOURNAL OF SYMBOLIC COMPUTATION 13937 3% 1% 30
5 JOURNAL OF PURE AND APPLIED ALGEBRA 12085 5% 1% 45
6 ANNALS OF COMBINATORICS 11159 1% 3% 12
7 DISCRETE & COMPUTATIONAL GEOMETRY 10425 3% 1% 25
8 JOURNAL OF ALGEBRA 9222 7% 0% 59
9 ELECTRONIC JOURNAL OF COMBINATORICS 7181 3% 1% 23
10 JOURNAL OF COMBINATORIAL THEORY SERIES A 5097 2% 1% 22

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TORIC IDEAL 1814893 7% 83% 62 Search TORIC+IDEAL Search TORIC+IDEAL
2 MARKOV BASIS 965740 3% 91% 30 Search MARKOV+BASIS Search MARKOV+BASIS
3 LATTICE IDEALS 679875 3% 80% 24 Search LATTICE+IDEALS Search LATTICE+IDEALS
4 BINOMIAL EDGE IDEALS 672803 2% 100% 19 Search BINOMIAL+EDGE+IDEALS Search BINOMIAL+EDGE+IDEALS
5 MONOMIAL CURVE 660980 3% 67% 28 Search MONOMIAL+CURVE Search MONOMIAL+CURVE
6 BINOMIAL IDEALS 633603 3% 62% 29 Search BINOMIAL+IDEALS Search BINOMIAL+IDEALS
7 GRAVER BASIS 615832 2% 87% 20 Search GRAVER+BASIS Search GRAVER+BASIS
8 MARKOV BASES 503615 2% 89% 16 Search MARKOV+BASES Search MARKOV+BASES
9 ALGEBRAIC STATISTICS 340456 3% 38% 25 Search ALGEBRAIC+STATISTICS Search ALGEBRAIC+STATISTICS
10 SET THEORETIC COMPLETE INTERSECTION 312576 2% 55% 16 Search SET+THEORETIC+COMPLETE+INTERSECTION Search SET+THEORETIC+COMPLETE+INTERSECTION

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 24129 FROBENIUS NUMBER//NUMERICAL SEMIGROUP//PSEUDO FROBENIUS NUMBERS
2 26449 EHRHART POLYNOMIAL//EHRHART QUASI POLYNOMIAL//VIRTUAL POLYTOPE
3 6895 MONOMIAL IDEALS//EDGE IDEAL//STANLEY DEPTH
4 33579 NEAR AUTOMORPHISM//SORTABILITY//TOTAL RELATIVE DISPLACEMENT
5 6809 REES ALGEBRA//ASSOCIATED GRADED RING//REDUCTION NUMBER
6 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
7 21586 A HYPERGEOMETRIC SYSTEMS//A HYPERGEOMETRIC FUNCTIONS//SELBERG TYPE INTEGRALS
8 27689 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//KHABAROVSK
9 28680 EXACT P VALUES//POLYNOMIAL MULTIPLICATION ALGORITHM//NETWORK ALGORITHM
10 6128 JOURNAL OF SYMBOLIC COMPUTATION//GROBNER BASES//POLYNOMIAL SYSTEM SOLVING

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