Class information for:
Level 1: POLYNOMIAL FACTORIZATION//COMBINATORICS ON POLYNOMIALS//ABSOLUTE IRREDUCIBILITY

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
12 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, INFORMATION SYSTEMS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE 1181119
449 3       CRYPTOGRAPHY//COMPUTER SCIENCE, THEORY & METHODS//DIGITAL SIGNATURE 26889
1734 2             JOURNAL OF SYMBOLIC COMPUTATION//SCALAR MULTIPLICATION//FINITE FIELDS 6875
18237 1                   POLYNOMIAL FACTORIZATION//COMBINATORICS ON POLYNOMIALS//ABSOLUTE IRREDUCIBILITY 586

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POLYNOMIAL FACTORIZATION authKW 655480 5% 42% 29
2 COMBINATORICS ON POLYNOMIALS authKW 322690 1% 100% 6
3 ABSOLUTE IRREDUCIBILITY authKW 264766 1% 62% 8
4 ABSOLUTE FACTORIZATION authKW 215127 1% 100% 4
5 JOURNAL OF SYMBOLIC COMPUTATION journal 191146 15% 4% 90
6 EXTREMAL DYNAMIC ERROR authKW 161345 1% 100% 3
7 EXTREMAL DYNAMIC PROPERTIES authKW 161345 1% 100% 3
8 FACTORING POLYNOMIALS authKW 161345 1% 100% 3
9 INTEGRAL INDECOMPOSABILITY authKW 161345 1% 100% 3
10 MULTIPLICATIVE ORDER authKW 146397 1% 39% 7

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Computer Science, Theory & Methods 15606 45% 0% 262
2 Mathematics, Applied 10565 53% 0% 311
3 Mathematics 3594 34% 0% 202
4 Logic 486 2% 0% 12
5 Computer Science, Software Engineering 159 4% 0% 25
6 Computer Science, Information Systems 126 4% 0% 26
7 Computer Science, Hardware & Architecture 57 2% 0% 12
8 Computer Science, Interdisciplinary Applications 40 3% 0% 17
9 Automation & Control Systems 12 1% 0% 8
10 Engineering, General 7 1% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ARITHMAT CALCUL FORMEL OPTIMISAT 53782 0% 100% 1
2 AUTOMAT REASONING PROGRAMM 53782 0% 100% 1
3 DPT COMP SCI SOFTWARE ENGN 53782 0% 100% 1
4 HIGHER INFORMAT 53782 0% 100% 1
5 INRIA PARIS ROCQUENCOURT LIP6 53782 0% 100% 1
6 LIP6INRIA PARIS ROCQUENCOURTSALSA PROJECTU 53782 0% 100% 1
7 POLSYS CNRS UMR 7606 53782 0% 100% 1
8 SALSA PROJECTINRIALIP6UMR 7606 53782 0% 100% 1
9 SALSA PROJECTLIP6CNRS UMR 7606 53782 0% 100% 1
10 CHONGQING AUTOMATED REASONING COGNIT 34569 1% 21% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF SYMBOLIC COMPUTATION 191146 15% 4% 90
2 MATHEMATICS OF COMPUTATION 29285 8% 1% 47
3 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 22104 3% 3% 16
4 FINITE FIELDS AND THEIR APPLICATIONS 19806 3% 2% 20
5 SIAM JOURNAL ON COMPUTING 7308 3% 1% 20
6 JOURNAL OF COMPLEXITY 5288 2% 1% 9
7 JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC 4077 1% 1% 8
8 BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES 4001 1% 1% 8
9 COMPUTATIONAL COMPLEXITY 3843 1% 1% 5
10 LECTURE NOTES IN COMPUTER SCIENCE 2564 11% 0% 66

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POLYNOMIAL FACTORIZATION 655480 5% 42% 29 Search POLYNOMIAL+FACTORIZATION Search POLYNOMIAL+FACTORIZATION
2 COMBINATORICS ON POLYNOMIALS 322690 1% 100% 6 Search COMBINATORICS+ON+POLYNOMIALS Search COMBINATORICS+ON+POLYNOMIALS
3 ABSOLUTE IRREDUCIBILITY 264766 1% 62% 8 Search ABSOLUTE+IRREDUCIBILITY Search ABSOLUTE+IRREDUCIBILITY
4 ABSOLUTE FACTORIZATION 215127 1% 100% 4 Search ABSOLUTE+FACTORIZATION Search ABSOLUTE+FACTORIZATION
5 EXTREMAL DYNAMIC ERROR 161345 1% 100% 3 Search EXTREMAL+DYNAMIC+ERROR Search EXTREMAL+DYNAMIC+ERROR
6 EXTREMAL DYNAMIC PROPERTIES 161345 1% 100% 3 Search EXTREMAL+DYNAMIC+PROPERTIES Search EXTREMAL+DYNAMIC+PROPERTIES
7 FACTORING POLYNOMIALS 161345 1% 100% 3 Search FACTORING+POLYNOMIALS Search FACTORING+POLYNOMIALS
8 INTEGRAL INDECOMPOSABILITY 161345 1% 100% 3 Search INTEGRAL+INDECOMPOSABILITY Search INTEGRAL+INDECOMPOSABILITY
9 MULTIPLICATIVE ORDER 146397 1% 39% 7 Search MULTIPLICATIVE+ORDER Search MULTIPLICATIVE+ORDER
10 FINITE FIELDS 131173 10% 4% 59 Search FINITE+FIELDS Search FINITE+FIELDS

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 27895 NUMBER FIELD SIEVE//POLYNOMIAL SELECTION//EXACT LINEAR ALGEBRA
2 30700 QUADRATIC ALGORITHMS//MULTIPLICATIVE COMPLEXITY//BILINEAR COMPLEXITY
3 23000 COSTAS ARRAYS//PRIMITIVE ELEMENT//HANSEN MULLEN CONJECTURE
4 24238 CARMICHAEL NUMBERS//PRIMALITY TESTING//PSEUDOPRIME
5 15335 COPPERSMITHS METHOD//LATTICE BASIS REDUCTION//NTRU
6 11837 ARITHMETIC CIRCUITS//POLYNOMIAL IDENTITY TESTING//COMPUTATIONAL COMPLEXITY
7 6128 JOURNAL OF SYMBOLIC COMPUTATION//GROBNER BASES//POLYNOMIAL SYSTEM SOLVING
8 15250 IMPLICITIZATION//MU BASIS//COMPUTER AIDED GEOMETRIC DESIGN
9 19751 NOETHERS PROBLEM//RATIONALITY PROBLEM//GENERIC POLYNOMIALS
10 33554 COGALOIS EXTENSION//G COGALOIS EXTENSION//KNESER EXTENSION

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