Class information for:
Level 1: FROBENIUS NUMBER//NUMERICAL SEMIGROUP//PSEUDO FROBENIUS NUMBERS

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
24129 1                   FROBENIUS NUMBER//NUMERICAL SEMIGROUP//PSEUDO FROBENIUS NUMBERS 345

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FROBENIUS NUMBER authKW 5595575 21% 84% 73
2 NUMERICAL SEMIGROUP authKW 4892505 29% 54% 99
3 PSEUDO FROBENIUS NUMBERS authKW 730819 2% 100% 8
4 APERY SET authKW 581761 3% 58% 11
5 FROBENIUS PROBLEM authKW 409381 3% 41% 11
6 ARF SEMIGROUP authKW 380633 1% 83% 5
7 SYMMETRIC NUMERICAL SEMIGROUP authKW 380633 1% 83% 5
8 IRREDUCIBLE NUMERICAL SEMIGROUP authKW 365410 1% 100% 4
9 MAXIMAL EMBEDDING DIMENSION authKW 365410 1% 100% 4
10 ALGEBRA address 331144 25% 4% 87

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14443 87% 0% 301
2 Mathematics, Applied 905 21% 0% 73
3 Computer Science, Theory & Methods 36 3% 0% 12
4 COMPUTER APPLICATIONS & CYBERNETICS 33 0% 0% 1
5 Computer Science, Information Systems 3 1% 0% 5
6 Operations Research & Management Science 3 1% 0% 4
7 Computer Science, Software Engineering 1 1% 0% 3
8 Computer Science, Hardware & Architecture 1 1% 0% 2
9 Physics, Mathematical 1 1% 0% 4
10 Multidisciplinary Sciences 0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ALGEBRA 331144 25% 4% 87
2 DITPEM 182705 1% 100% 2
3 WALES MATH COMPUTAT SCI 126871 1% 28% 5
4 DEP QUANTITAT METHODS ECON BUSINESS 91352 0% 100% 1
5 DTO CIENCIAS BASICAS LICADAS INGN FO TAL 91352 0% 100% 1
6 LMPA MATH PU PLIQUEES JOSEPH LIOUVILLE 91352 0% 100% 1
7 SECURE DATA 91352 0% 100% 1
8 UMRS 5149 91352 0% 100% 1
9 IEMATH GR 60899 1% 33% 2
10 ALGEGRA 45675 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEMIGROUP FORUM 85670 14% 2% 47
2 MATHEMATICA SCANDINAVICA 23502 6% 1% 19
3 JOURNAL OF NUMBER THEORY 5420 5% 0% 17
4 JOURNAL OF PURE AND APPLIED ALGEBRA 4448 5% 0% 17
5 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 4078 2% 1% 7
6 JOURNAL OF COMMUTATIVE ALGEBRA 3523 1% 1% 3
7 COMMUNICATIONS IN ALGEBRA 3322 6% 0% 19
8 JOURNAL OF ALGEBRA 2461 6% 0% 19
9 ACTA ARITHMETICA 2244 3% 0% 9
10 RAMANUJAN JOURNAL 2122 1% 0% 5

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FROBENIUS NUMBER 5595575 21% 84% 73 Search FROBENIUS+NUMBER Search FROBENIUS+NUMBER
2 NUMERICAL SEMIGROUP 4892505 29% 54% 99 Search NUMERICAL+SEMIGROUP Search NUMERICAL+SEMIGROUP
3 PSEUDO FROBENIUS NUMBERS 730819 2% 100% 8 Search PSEUDO+FROBENIUS+NUMBERS Search PSEUDO+FROBENIUS+NUMBERS
4 APERY SET 581761 3% 58% 11 Search APERY+SET Search APERY+SET
5 FROBENIUS PROBLEM 409381 3% 41% 11 Search FROBENIUS+PROBLEM Search FROBENIUS+PROBLEM
6 ARF SEMIGROUP 380633 1% 83% 5 Search ARF+SEMIGROUP Search ARF+SEMIGROUP
7 SYMMETRIC NUMERICAL SEMIGROUP 380633 1% 83% 5 Search SYMMETRIC+NUMERICAL+SEMIGROUP Search SYMMETRIC+NUMERICAL+SEMIGROUP
8 IRREDUCIBLE NUMERICAL SEMIGROUP 365410 1% 100% 4 Search IRREDUCIBLE+NUMERICAL+SEMIGROUP Search IRREDUCIBLE+NUMERICAL+SEMIGROUP
9 MAXIMAL EMBEDDING DIMENSION 365410 1% 100% 4 Search MAXIMAL+EMBEDDING+DIMENSION Search MAXIMAL+EMBEDDING+DIMENSION
10 DISTRIBUTION OF LATTICES 326256 1% 71% 5 Search DISTRIBUTION+OF+LATTICES Search DISTRIBUTION+OF+LATTICES

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 26449 EHRHART POLYNOMIAL//EHRHART QUASI POLYNOMIAL//VIRTUAL POLYTOPE
3 27689 KLEIN POLYHEDRON//MULTIDIMENSIONAL CONTINUED FRACTION//KHABAROVSK
4 31534 CURLICUES//ANALOGUE COMPUTERS//INCOMPLETE GAUSS SUM
5 23674 MANINS CONJECTURE//HERMITE CONSTANT//UNIVERSAL TORSORS
6 4310 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
7 24345 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
8 9695 ALGEBRAIC GEOMETRY CODES//ALGEBRAIC GEOMETRIC CODES//GALOIS POINT
9 15335 COPPERSMITHS METHOD//LATTICE BASIS REDUCTION//NTRU
10 27895 NUMBER FIELD SIEVE//POLYNOMIAL SELECTION//EXACT LINEAR ALGEBRA

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