Class information for:
Level 2: SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3165 2181 14.6 37%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
3165 2             SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE 2181
9779 1                   SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS 1121
17728 1                   ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS 585
20125 1                   STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION 475

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SUMSETS authKW 678131 3% 66% 73
2 STONE CECH COMPACTIFICATION authKW 462151 3% 46% 72
3 ZERO SUM SEQUENCE authKW 430077 2% 81% 38
4 DAVENPORT CONSTANT authKW 398182 1% 89% 32
5 ZERO SUM PROBLEMS authKW 377969 1% 100% 27
6 PEBBLING authKW 251967 1% 75% 24
7 PEBBLING NUMBER authKW 237980 1% 100% 17
8 RADO NUMBERS authKW 195984 1% 100% 14
9 MINIMAL ZERO SUM SEQUENCE authKW 185275 1% 88% 15
10 GRAHAMS CONJECTURE authKW 181985 1% 100% 13

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 106192 94% 0% 2044
2 Mathematics, Applied 4438 19% 0% 410
3 Statistics & Probability 362 4% 0% 80
4 Computer Science, Theory & Methods 234 4% 0% 77
5 Logic 160 1% 0% 14
6 Multidisciplinary Sciences 3 0% 0% 10
7 Computer Science, Software Engineering -0 0% 0% 10
8 Computer Science, Cybernetics -0 0% 0% 1
9 Computer Science, Hardware & Architecture -0 0% 0% 5
10 Philosophy -1 0% 0% 3

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ISYS 80621 1% 48% 12
2 LMPA JOSEPH LIOUVILLE 43416 1% 28% 11
3 PURE MATH MATH STAT 40645 2% 6% 45
4 MATEMAT DECANATO CIENCIAS TECNOL 38881 0% 56% 5
5 COMBINATOR 29581 2% 5% 39
6 MATH WISSEN RECHNEN 28350 1% 14% 15
7 COMP SCI IDD 27998 0% 100% 2
8 ELTE TFK 27998 0% 100% 2
9 ESCUELA MATEMAT MOST 27998 0% 100% 2
10 MATH ELTE TFK 27998 0% 100% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF COMBINATORIAL THEORY SERIES A 83563 6% 4% 140
2 SEMIGROUP FORUM 65348 5% 5% 104
3 ACTA ARITHMETICA 53518 5% 3% 111
4 COMBINATORICS PROBABILITY & COMPUTING 38364 2% 5% 50
5 JOURNAL OF NUMBER THEORY 37247 5% 2% 112
6 COMBINATORICA 36199 3% 4% 59
7 ELECTRONIC JOURNAL OF COMBINATORICS 22227 3% 3% 63
8 DISCRETE MATHEMATICS 20706 6% 1% 132
9 EUROPEAN JOURNAL OF COMBINATORICS 18583 3% 2% 64
10 ISRAEL JOURNAL OF MATHEMATICS 16171 3% 2% 66

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SUMSETS 678131 3% 66% 73 Search SUMSETS Search SUMSETS
2 STONE CECH COMPACTIFICATION 462151 3% 46% 72 Search STONE+CECH+COMPACTIFICATION Search STONE+CECH+COMPACTIFICATION
3 ZERO SUM SEQUENCE 430077 2% 81% 38 Search ZERO+SUM+SEQUENCE Search ZERO+SUM+SEQUENCE
4 DAVENPORT CONSTANT 398182 1% 89% 32 Search DAVENPORT+CONSTANT Search DAVENPORT+CONSTANT
5 ZERO SUM PROBLEMS 377969 1% 100% 27 Search ZERO+SUM+PROBLEMS Search ZERO+SUM+PROBLEMS
6 PEBBLING 251967 1% 75% 24 Search PEBBLING Search PEBBLING
7 PEBBLING NUMBER 237980 1% 100% 17 Search PEBBLING+NUMBER Search PEBBLING+NUMBER
8 RADO NUMBERS 195984 1% 100% 14 Search RADO+NUMBERS Search RADO+NUMBERS
9 MINIMAL ZERO SUM SEQUENCE 185275 1% 88% 15 Search MINIMAL+ZERO+SUM+SEQUENCE Search MINIMAL+ZERO+SUM+SEQUENCE
10 GRAHAMS CONJECTURE 181985 1% 100% 13 Search GRAHAMS+CONJECTURE Search GRAHAMS+CONJECTURE

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GAO, W , GEROLDINGER, A , (2006) ZERO-SUM PROBLEMS IN FINITE ABELIAN GROUPS: A SURVEY.EXPOSITIONES MATHEMATICAE. VOL. 24. ISSUE 4. P. 337 -369 81 96% 69
2 SHKREDOV, ID , (2015) STRUCTURE THEOREMS IN ADDITIVE COMBINATORICS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 70. ISSUE 1. P. 113 -163 60 73% 0
3 GRYNKIEWICZ, DJ , PHILIPP, A , PONOMARENKO, V , (2013) ARITHMETIC-PROGRESSION-WEIGHTED SUBSEQUENCE SUMS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 193. ISSUE 1. P. 359 -398 32 100% 2
4 FREIMAN, GA , (1999) STRUCTURE THEORY OF SET ADDITION.ASTERISQUE. VOL. . ISSUE 258. P. 1 -33 59 78% 14
5 WOLF, J , (2015) FINITE FIELD MODELS IN ARITHMETIC COMBINATORICS - TEN YEARS ON.FINITE FIELDS AND THEIR APPLICATIONS. VOL. 32. ISSUE . P. 233 -274 34 87% 1
6 SHKREDOV, ID , (2010) FOURIER ANALYSIS IN COMBINATORIAL NUMBER THEORY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 65. ISSUE 3. P. 513 -567 52 65% 0
7 SANDERS, T , (2012) ON THE BOGOLYUBOV-RUZSA LEMMA.ANALYSIS & PDE. VOL. 5. ISSUE 3. P. 627 -655 27 100% 21
8 HURLBERT, G , (2013) GENERAL GRAPH PEBBLING.DISCRETE APPLIED MATHEMATICS. VOL. 161. ISSUE 9. P. 1221-1231 30 94% 1
9 WOLF, J , (2013) ARITHMETIC AND POLYNOMIAL PROGRESSIONS IN THE PRIMES [AFTER GOWERS, GREEN, TAO AND ZIEGLER].ASTERISQUE. VOL. . ISSUE 352. P. 389-427 29 94% 0
10 PENG, JT , QIAN, GY , SUN, F , WANG, LL , (2014) ON THE STRUCTURE OF N-ZERO-SUM FREE SEQUENCES OVER CYCLIC GROUPS OF ORDER N.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 10. ISSUE 8. P. 1991 -2009 27 96% 0

Classes with closest relation at Level 2


Rank Class id link
1 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS
2 303 DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B
3 3262 GROUP TESTING//POOLING DESIGN//INTERSECTING FAMILY
4 2567 LINEAR COMPLEXITY//PERMUTATION POLYNOMIAL//FINITE FIELDS AND THEIR APPLICATIONS
5 3125 JOURNAL OF SYMBOLIC LOGIC//LOGIC//ABSTRACT ELEMENTARY CLASSES
6 1004 TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS
7 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
8 2508 INTERCONNECTION NETWORKS//HYPERCUBE//STAR GRAPH
9 842 MATHEMATICS//MAXIMAL OPERATOR//BMO
10 3652 LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT

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