Class information for:
Level 1: SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS

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
216 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 51096
1757 2             RAMSEY NUMBER//COMBINATORICS PROBABILITY & COMPUTING//DISCRETE MATHEMATICS 6776
9920 1                   SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS 1140

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SUMSETS authKW 733498 5% 48% 55
2 ARITHMETIC PROGRESSIONS authKW 279725 4% 20% 50
3 ADDITIVE COMBINATORICS authKW 248773 2% 38% 24
4 NILSEQUENCES authKW 221158 1% 100% 8
5 ADDITIVE NUMBER THEORY authKW 187456 2% 29% 23
6 SMALL DOUBLING authKW 169322 1% 88% 7
7 BN K GROUPS authKW 165868 1% 100% 6
8 NILSYSTEMS authKW 165868 1% 100% 6
9 SMALL SQUARING PROPERTY authKW 165868 1% 100% 6
10 MULTIPLE RECURRENCE authKW 159938 1% 64% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 53509 92% 0% 1052
2 Mathematics, Applied 2103 18% 0% 205
3 Statistics & Probability 372 5% 0% 56
4 Computer Science, Theory & Methods 252 5% 0% 54
5 Logic 22 0% 0% 4
6 Multidisciplinary Sciences 7 1% 0% 8
7 Computer Science, Hardware & Architecture 1 0% 0% 5
8 Computer Science, Software Engineering -0 0% 0% 5
9 Philosophy -1 0% 0% 1
10 Computer Science, Information Systems -3 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LMPA JOSEPH LIOUVILLE 67411 1% 24% 10
2 UMI UCHILE 2071 55289 0% 100% 2
3 ANAL MATH PL 34266 2% 6% 22
4 PURE MATH MATH STAT 31576 3% 4% 29
5 CNRS EQUIPE COMBINATOIRE 27645 0% 100% 1
6 E COMBINATOIRE OPTIMIZAT 27645 0% 100% 1
7 EA 769 27645 0% 100% 1
8 EQUIP COMBINATOIRE 27645 0% 100% 1
9 FEDERAT RECH DENIS POISSON CNRS 27645 0% 100% 1
10 INFORMAT ASSURACNE DIRECTORATE 27645 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ACTA ARITHMETICA 52575 7% 2% 79
2 COMBINATORICS PROBABILITY & COMPUTING 31827 3% 3% 33
3 JOURNAL OF NUMBER THEORY 29462 6% 1% 72
4 ERGODIC THEORY AND DYNAMICAL SYSTEMS 27804 4% 2% 50
5 JOURNAL D ANALYSE MATHEMATIQUE 23587 3% 3% 32
6 ISRAEL JOURNAL OF MATHEMATICS 22502 5% 1% 56
7 COMBINATORICA 20585 3% 2% 32
8 JOURNAL OF COMBINATORIAL THEORY SERIES A 19010 4% 1% 48
9 EUROPEAN JOURNAL OF COMBINATORICS 12650 3% 1% 38
10 ELECTRONIC JOURNAL OF COMBINATORICS 9540 3% 1% 30

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SUMSETS 733498 5% 48% 55 Search SUMSETS Search SUMSETS
2 ARITHMETIC PROGRESSIONS 279725 4% 20% 50 Search ARITHMETIC+PROGRESSIONS Search ARITHMETIC+PROGRESSIONS
3 ADDITIVE COMBINATORICS 248773 2% 38% 24 Search ADDITIVE+COMBINATORICS Search ADDITIVE+COMBINATORICS
4 NILSEQUENCES 221158 1% 100% 8 Search NILSEQUENCES Search NILSEQUENCES
5 ADDITIVE NUMBER THEORY 187456 2% 29% 23 Search ADDITIVE+NUMBER+THEORY Search ADDITIVE+NUMBER+THEORY
6 SMALL DOUBLING 169322 1% 88% 7 Search SMALL+DOUBLING Search SMALL+DOUBLING
7 BN K GROUPS 165868 1% 100% 6 Search BN+K+GROUPS Search BN+K+GROUPS
8 NILSYSTEMS 165868 1% 100% 6 Search NILSYSTEMS Search NILSYSTEMS
9 SMALL SQUARING PROPERTY 165868 1% 100% 6 Search SMALL+SQUARING+PROPERTY Search SMALL+SQUARING+PROPERTY
10 MULTIPLE RECURRENCE 159938 1% 64% 9 Search MULTIPLE+RECURRENCE Search MULTIPLE+RECURRENCE

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 19787 DAVENPORT CONSTANT//ZERO SUM PROBLEMS//ZERO SUM SEQUENCE
2 20298 STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION
3 16948 SUM PRODUCT ESTIMATES//DISTINCT DISTANCES//PRODUCT SETS
4 12120 GRAPH LIMITS//TURAN DENSITY//SZEMEREDIS REGULARITY LEMMA
5 38183 N UNIFORM HYPERGRAPH//ERDOS LOVASZ PROBLEM//NON UNIFORM HYPERGRAPHS
6 24345 REPRESENTATION FUNCTION//ERDOS TURAN CONJECTURE//SIDON SETS
7 11961 BILINEAR HILBERT TRANSFORM//MULTILINEAR OPERATORS//MULTILINEAR CALDERON ZYGMUND OPERATOR
8 10665 CIRCLE METHOD//WARING GOLDBACH PROBLEM//HARDY LITTLEWOOD METHOD
9 16554 PROPERTY TESTING//LOCALLY TESTABLE CODES//PROBABILISTICALLY CHECKABLE PROOFS
10 9893 SHIFTED PRIMES//ACTA ARITHMETICA//MULTIPLICATIVE FUNCTIONS

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