Class information for:
Level 1: ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17728 585 13.6 43%


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
17728 1                   ZERO SUM SEQUENCE//DAVENPORT CONSTANT//ZERO SUM PROBLEMS 585

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 ZERO SUM SEQUENCE authKW 1603624 6% 81% 38
2 DAVENPORT CONSTANT authKW 1484679 5% 89% 32
3 ZERO SUM PROBLEMS authKW 1409292 5% 100% 27
4 PEBBLING authKW 939516 4% 75% 24
5 PEBBLING NUMBER authKW 887332 3% 100% 17
6 RADO NUMBERS authKW 730744 2% 100% 14
7 MINIMAL ZERO SUM SEQUENCE authKW 690826 3% 88% 15
8 GRAHAMS CONJECTURE authKW 678548 2% 100% 13
9 INDEX OF SEQUENCES authKW 626352 2% 100% 12
10 ERDOS GINZBURG ZIV THEOREM authKW 574156 2% 100% 11

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 27304 92% 0% 537
2 Mathematics, Applied 1144 18% 0% 108
3 Statistics & Probability 114 4% 0% 23
4 Computer Science, Theory & Methods 82 4% 0% 23
5 Medical Laboratory Technology -0 0% 0% 1
6 Multidisciplinary Sciences -0 0% 0% 1
7 Computer Science, Software Engineering -0 0% 0% 2
8 Computer Science, Interdisciplinary Applications -1 0% 0% 2

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 300636 2% 48% 12
2 MATEMAT DECANATO CIENCIAS TECNOL 144984 1% 56% 5
3 COMBINATOR 110497 7% 5% 39
4 COMP SCI IDD 104392 0% 100% 2
5 ESCUELA MATEMAT MOST 104392 0% 100% 2
6 MATH WISSEN RECHNEN 92141 2% 13% 14
7 LMPA JOSEPH LIOUVILLE 85642 1% 21% 8
8 DEP MATEMAT LICADA TELEMAT 69593 0% 67% 2
9 NUCLEO LITORAL 69593 0% 67% 2
10 ALGEBRA BUD EST 52196 0% 100% 1

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 DISCRETE MATHEMATICS 33012 15% 1% 86
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 28048 7% 1% 42
3 ARS COMBINATORIA 23697 7% 1% 41
4 ELECTRONIC JOURNAL OF COMBINATORICS 21437 5% 1% 32
5 JOURNAL OF NUMBER THEORY 20506 7% 1% 43
6 ACTA ARITHMETICA 19850 6% 1% 35
7 EUROPEAN JOURNAL OF COMBINATORICS 15267 5% 1% 30
8 INTERNATIONAL JOURNAL OF NUMBER THEORY 15064 3% 2% 18
9 COMBINATORICS PROBABILITY & COMPUTING 12876 3% 2% 15
10 COMBINATORICA 9925 3% 1% 16

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 ZERO SUM SEQUENCE 1603624 6% 81% 38 Search ZERO+SUM+SEQUENCE Search ZERO+SUM+SEQUENCE
2 DAVENPORT CONSTANT 1484679 5% 89% 32 Search DAVENPORT+CONSTANT Search DAVENPORT+CONSTANT
3 ZERO SUM PROBLEMS 1409292 5% 100% 27 Search ZERO+SUM+PROBLEMS Search ZERO+SUM+PROBLEMS
4 PEBBLING 939516 4% 75% 24 Search PEBBLING Search PEBBLING
5 PEBBLING NUMBER 887332 3% 100% 17 Search PEBBLING+NUMBER Search PEBBLING+NUMBER
6 RADO NUMBERS 730744 2% 100% 14 Search RADO+NUMBERS Search RADO+NUMBERS
7 MINIMAL ZERO SUM SEQUENCE 690826 3% 88% 15 Search MINIMAL+ZERO+SUM+SEQUENCE Search MINIMAL+ZERO+SUM+SEQUENCE
8 GRAHAMS CONJECTURE 678548 2% 100% 13 Search GRAHAMS+CONJECTURE Search GRAHAMS+CONJECTURE
9 INDEX OF SEQUENCES 626352 2% 100% 12 Search INDEX+OF+SEQUENCES Search INDEX+OF+SEQUENCES
10 ERDOS GINZBURG ZIV THEOREM 574156 2% 100% 11 Search ERDOS+GINZBURG+ZIV+THEOREM Search ERDOS+GINZBURG+ZIV+THEOREM

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 78 93% 69
2 GRYNKIEWICZ, DJ , PHILIPP, A , PONOMARENKO, V , (2013) ARITHMETIC-PROGRESSION-WEIGHTED SUBSEQUENCE SUMS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 193. ISSUE 1. P. 359 -398 31 97% 2
3 HURLBERT, G , (2013) GENERAL GRAPH PEBBLING.DISCRETE APPLIED MATHEMATICS. VOL. 161. ISSUE 9. P. 1221-1231 30 94% 1
4 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
5 GAO, WD , HAN, DC , PENG, JT , SUN, F , (2014) ON ZERO-SUM SUBSEQUENCES OF LENGTH K EXP(G).JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 125. ISSUE . P. 240 -253 22 100% 1
6 GRYNKIEWICZ, DJ , (2005) ON A PARTITION ANALOG OF THE CAUCHY-DAVENPORT THEOREM.ACTA MATHEMATICA HUNGARICA. VOL. 107. ISSUE 1-2. P. 161 -174 27 100% 12
7 DAS ADHIKARI, S , MAZUMDAR, E , (2015) THE POLYNOMIAL METHOD IN THE STUDY OF ZERO-SUM THEOREMS.INTERNATIONAL JOURNAL OF NUMBER THEORY. VOL. 11. ISSUE 5. P. 1451 -1461 21 100% 0
8 PENG, JT , SUN, F , (2017) ON THE UNSPLITTABLE MINIMAL ZERO-SUM SEQUENCES OVER FINITE CYCLIC GROUPS OF PRIME ORDER.ARS COMBINATORIA. VOL. 130. ISSUE . P. 103 -118 21 95% 0
9 LUCA, F , ORDAZ, O , VARELA, MT , (2012) ON BARYCENTRIC CONSTANTS.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 53. ISSUE 2. P. 1-12 21 100% 0
10 FAN, YS , GAO, WD , WANG, LL , ZHONG, QH , (2013) TWO ZERO-SUM INVARIANTS ON FINITE ABELIAN GROUPS.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 34. ISSUE 8. P. 1331-1337 21 91% 5

Classes with closest relation at Level 1


Rank Class id link
1 9779 SUMSETS//ARITHMETIC PROGRESSIONS//ADDITIVE COMBINATORICS
2 23117 IRREGULARITY STRENGTH//TOTAL VERTEX IRREGULARITY STRENGTH//COMBINATORIAL NULLSTELLENSATZ
3 24944 COVERING SYSTEMS//ITERATION DIGRAPH//SUMS OF PRIME POWERS
4 4765 PRUFER DOMAIN//INTEGER VALUED POLYNOMIALS//STAR OPERATION
5 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION
6 15230 LINEAR ARBORICITY//ANTI RAMSEY//RAINBOW MATCHING
7 18935 COMBINATORIAL GAMES//IMPARTIAL GAME//SPRAGUE GRUNDY FUNCTION
8 29388 MAGIC SQUARES//MAGIC RECTANGLE//SUDOKU
9 17978 NOWHERE ZERO FLOWS//SNARK//NOWHERE ZERO 3 FLOW
10 27088 VERTEX RANKING//CONFLICT FREE COLORING//EDGE RANKING

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