Class information for:
Level 1: EHRHART POLYNOMIAL//EHRHART QUASI POLYNOMIAL//VIRTUAL POLYTOPE

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
26449 1                   EHRHART POLYNOMIAL//EHRHART QUASI POLYNOMIAL//VIRTUAL POLYTOPE 275

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EHRHART POLYNOMIAL authKW 956342 8% 38% 22
2 EHRHART QUASI POLYNOMIAL authKW 467970 3% 58% 7
3 VIRTUAL POLYTOPE authKW 366738 1% 80% 4
4 LATTICE POINTS authKW 346138 8% 14% 21
5 BOUNDARY CHARACTERISTIC authKW 343819 1% 100% 3
6 LATTICE POLYHEDRON authKW 305614 1% 67% 4
7 RATIONAL GENERATING FUNCTIONS authKW 261954 1% 57% 4
8 RATIONAL POLYTOPE authKW 238757 2% 42% 5
9 BARVINOKS ALGORITHM authKW 229213 1% 100% 2
10 DIFFERENCE IDEAL authKW 229213 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 9288 79% 0% 216
2 Mathematics, Applied 1420 29% 0% 80
3 Computer Science, Theory & Methods 181 8% 0% 21
4 Operations Research & Management Science 98 5% 0% 13
5 Computer Science, Software Engineering 15 2% 0% 6
6 Multidisciplinary Sciences 6 1% 0% 3
7 Logic 6 0% 0% 1
8 Computer Science, Hardware & Architecture 2 1% 0% 2
9 Computer Science, Information Systems 1 1% 0% 3
10 Management 0 1% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL FUNCESTRUTURAS LINEA LICACOES 114606 0% 100% 1
2 ANAL MATEMAT GEOMETRIA SIST DINAM 114606 0% 100% 1
3 ANALISE MATEMAT GEOMETRIA SIST DINAM 114606 0% 100% 1
4 MSCS MC 249 114606 0% 100% 1
5 LOW TEMP PHYS TECH 114604 1% 50% 2
6 YTUT MATEMAT 57302 0% 50% 1
7 CIVESTAV 38201 0% 33% 1
8 THEORIE GRP 25465 1% 11% 2
9 MSCS 21826 1% 10% 2
10 FMA 19099 0% 17% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AMERICAN MATHEMATICAL MONTHLY 8093 5% 1% 14
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 6710 5% 0% 14
3 DISCRETE & COMPUTATIONAL GEOMETRY 4375 3% 0% 9
4 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 4126 1% 2% 2
5 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 4003 2% 1% 5
6 ADVANCES IN APPLIED MATHEMATICS 3788 3% 0% 7
7 ADVANCES IN MATHEMATICS 2811 4% 0% 11
8 ANNALS OF COMBINATORICS 2256 1% 1% 3
9 MATHEMATIKA 2050 1% 0% 4
10 COMMUNICATIONS IN ANALYSIS AND GEOMETRY 1621 1% 0% 3

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 EHRHART POLYNOMIAL 956342 8% 38% 22 Search EHRHART+POLYNOMIAL Search EHRHART+POLYNOMIAL
2 EHRHART QUASI POLYNOMIAL 467970 3% 58% 7 Search EHRHART+QUASI+POLYNOMIAL Search EHRHART+QUASI+POLYNOMIAL
3 VIRTUAL POLYTOPE 366738 1% 80% 4 Search VIRTUAL+POLYTOPE Search VIRTUAL+POLYTOPE
4 LATTICE POINTS 346138 8% 14% 21 Search LATTICE+POINTS Search LATTICE+POINTS
5 BOUNDARY CHARACTERISTIC 343819 1% 100% 3 Search BOUNDARY+CHARACTERISTIC Search BOUNDARY+CHARACTERISTIC
6 LATTICE POLYHEDRON 305614 1% 67% 4 Search LATTICE+POLYHEDRON Search LATTICE+POLYHEDRON
7 RATIONAL GENERATING FUNCTIONS 261954 1% 57% 4 Search RATIONAL+GENERATING+FUNCTIONS Search RATIONAL+GENERATING+FUNCTIONS
8 RATIONAL POLYTOPE 238757 2% 42% 5 Search RATIONAL+POLYTOPE Search RATIONAL+POLYTOPE
9 BARVINOKS ALGORITHM 229213 1% 100% 2 Search BARVINOKS+ALGORITHM Search BARVINOKS+ALGORITHM
10 DIFFERENCE IDEAL 229213 1% 100% 2 Search DIFFERENCE+IDEAL Search DIFFERENCE+IDEAL

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 24129 FROBENIUS NUMBER//NUMERICAL SEMIGROUP//PSEUDO FROBENIUS NUMBERS
3 12634 SYMPLECTIC QUOTIENT//EQUIVARIANT COHOMOLOGY//MOMENTUM MAP
4 14324 DEDEKIND SUMS//HYBRID MEAN VALUE//ASYMPTOTIC FORMULA
5 23393 LITTLEWOOD RICHARDSON COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY//KRONECKER COEFFICIENTS
6 11806 CD INDEX//EULERIAN POSET//FLAG F VECTOR
7 21586 A HYPERGEOMETRIC SYSTEMS//A HYPERGEOMETRIC FUNCTIONS//SELBERG TYPE INTEGRALS
8 14961 APPROXIMATE COUNTING//REACHABILITY ON SOLUTION SPACE//RANDOM STRUCTURES & ALGORITHMS
9 20292 CIRCLE PATTERN//FLEXIBLE POLYHEDRON//CIRCLE PACKING
10 14576 TROPICAL GEOMETRY//ENUMERATIVE GEOMETRY//FEWNOMIALS

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