Class information for:
Level 1: LATIN SQUARE//LATIN TRADE//DEFINING SETS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
21131 432 13.4 31%



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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
616 3       JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//MATHEMATICS 13952
2096 2             JOURNAL OF COMBINATORIAL DESIGNS//ARS COMBINATORIA//DISCRETE MATHEMATICS 5164
21131 1                   LATIN SQUARE//LATIN TRADE//DEFINING SETS 432

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 LATIN SQUARE authKW 2330259 25% 30% 110
2 LATIN TRADE authKW 796356 3% 87% 13
3 DEFINING SETS authKW 785655 4% 65% 17
4 LATIN BITRADE authKW 642569 2% 91% 10
5 FULL DESIGNS authKW 424097 1% 100% 6
6 DISCRETE MATH COMP address 415452 6% 23% 26
7 PARTIAL LATIN SQUARE authKW 381680 2% 60% 9
8 TRANSVERSAL authKW 287447 5% 18% 22
9 BACHELOR SQUARE authKW 282731 1% 100% 4
10 MAIN CLASS authKW 282731 1% 100% 4

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 12433 72% 0% 313
2 Mathematics, Applied 2171 29% 0% 124
3 Statistics & Probability 1026 12% 0% 53
4 Computer Science, Theory & Methods 101 5% 0% 21
5 Computer Science, Cybernetics 18 1% 0% 3
6 Computer Science, Software Engineering 1 1% 0% 4
7 Engineering, Industrial 0 0% 0% 2
8 Operations Research & Management Science 0 1% 0% 3
9 Engineering, Geological 0 0% 0% 1
10 Mathematical & Computational Biology 0 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 DISCRETE MATH COMP 415452 6% 23% 26
2 COMP SECURITY 70683 0% 100% 1
3 GEOMETRY TOPOLOGY 70683 0% 100% 1
4 UNMI 2807 70683 0% 100% 1
5 KA 35340 0% 50% 1
6 ENGN LOGIST 21931 1% 10% 3
7 SOFTWARETECHNOL 18845 0% 13% 2
8 PL INFORMAT INFORMAT TECHNOL 14135 0% 20% 1
9 UNIV SZEGED 14135 0% 20% 1
10 KATEDRA ALGEBRY 10096 0% 14% 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 JOURNAL OF COMBINATORIAL DESIGNS 109172 8% 5% 34
2 UTILITAS MATHEMATICA 65120 9% 2% 39
3 ARS COMBINATORIA 45895 11% 1% 49
4 DISCRETE MATHEMATICS 33123 17% 1% 74
5 JOURNAL OF COMBINATORIAL THEORY SERIES A 12392 6% 1% 24
6 EUROPEAN JOURNAL OF COMBINATORICS 10128 5% 1% 21
7 ELECTRONIC JOURNAL OF COMBINATORICS 8183 4% 1% 17
8 GRAPHS AND COMBINATORICS 6138 3% 1% 13
9 DESIGNS CODES AND CRYPTOGRAPHY 5884 3% 1% 12
10 ANNALS OF COMBINATORICS 5811 1% 1% 6

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 LATIN SQUARE 2330259 25% 30% 110 Search LATIN+SQUARE Search LATIN+SQUARE
2 LATIN TRADE 796356 3% 87% 13 Search LATIN+TRADE Search LATIN+TRADE
3 DEFINING SETS 785655 4% 65% 17 Search DEFINING+SETS Search DEFINING+SETS
4 LATIN BITRADE 642569 2% 91% 10 Search LATIN+BITRADE Search LATIN+BITRADE
5 FULL DESIGNS 424097 1% 100% 6 Search FULL+DESIGNS Search FULL+DESIGNS
6 PARTIAL LATIN SQUARE 381680 2% 60% 9 Search PARTIAL+LATIN+SQUARE Search PARTIAL+LATIN+SQUARE
7 TRANSVERSAL 287447 5% 18% 22 Search TRANSVERSAL Search TRANSVERSAL
8 BACHELOR SQUARE 282731 1% 100% 4 Search BACHELOR+SQUARE Search BACHELOR+SQUARE
9 MAIN CLASS 282731 1% 100% 4 Search MAIN+CLASS Search MAIN+CLASS
10 PARTIAL ORTHOMORPHISM 282731 1% 100% 4 Search PARTIAL+ORTHOMORPHISM Search PARTIAL+ORTHOMORPHISM

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 CAVENAGH, NJ , (2008) THE THEORY AND APPLICATION OF LATIN BITRADES: A SURVEY.MATHEMATICA SLOVACA. VOL. 58. ISSUE 6. P. 691 -718 29 94% 10
2 KEEDWELL, AD , (2004) CRITICAL SETS IN LATIN SQUARES AND RELATED MATTERS: AN UPDATE.UTILITAS MATHEMATICA. VOL. 65. ISSUE . P. 97-131 25 96% 19
3 STONES, DS , (2013) SYMMETRIES OF PARTIAL LATIN SQUARES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 34. ISSUE 7. P. 1092-1107 19 100% 1
4 BROWNING, J , STONES, DS , WANLESS, IM , (2013) BOUNDS ON THE NUMBER OF AUTOTOPISMS AND SUBSQUARES OF A LATIN SQUARE.COMBINATORICA. VOL. 33. ISSUE 1. P. 11 -22 17 94% 3
5 STONES, RJ , LIN, S , LIU, XG , WANG, G , (2016) ON COMPUTING THE NUMBER OF LATIN RECTANGLES.GRAPHS AND COMBINATORICS. VOL. 32. ISSUE 3. P. 1187 -1202 16 94% 0
6 STONES, DS , VOJTECHOVSKY, P , WANLESS, IM , (2012) CYCLE STRUCTURE OF AUTOTOPISMS OF QUASIGROUPS AND LATIN SQUARES.JOURNAL OF COMBINATORIAL DESIGNS. VOL. 20. ISSUE 5. P. 227 -263 20 77% 5
7 FALCON, RM , (2013) THE SET OF AUTOTOPISMS OF PARTIAL LATIN SQUARES.DISCRETE MATHEMATICS. VOL. 313. ISSUE 11. P. 1150 -1161 16 89% 4
8 MENDIS, MJL , WANLESS, IM , (2017) AUTOPARATOPISMS OF QUASIGROUPS AND LATIN SQUARES.JOURNAL OF COMBINATORIAL DESIGNS. VOL. 25. ISSUE 2. P. 51 -74 13 100% 0
9 STONES, DS , (2010) THE MANY FORMULAE FOR THE NUMBER OF LATIN RECTANGLES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 17. ISSUE 1. P. - 22 67% 5
10 EGAN, J , WANLESS, IM , (2011) INDIVISIBLE PARTITIONS OF LATIN SQUARES.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 141. ISSUE 1. P. 402-417 13 100% 3

Classes with closest relation at Level 1



Rank Class id link
1 29388 MAGIC SQUARES//MAGIC RECTANGLE//SUDOKU
2 17896 LARGE SET//T WISE BALANCED DESIGN//CANDELABRA SYSTEM
3 19979 MOUFANG LOOP//BOL LOOP//INNER MAPPING GROUP
4 30622 MULTIDIMENSIONAL ASSIGNMENT PROBLEM//MULTIDIMENSIONAL ASSIGNMENT//THREE DIMENSIONAL ASSIGNMENT PROBLEM
5 9477 CHOOSABILITY//LIST COLORING//TOTAL COLORING
6 3470 JOURNAL OF COMBINATORIAL DESIGNS//GROUP DIVISIBLE DESIGN//G DESIGN
7 24118 PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES
8 28597 BLOCK INTERSECTION GRAPHS//INFINITE DESIGN//MITRE CONFIGURATION
9 15230 LINEAR ARBORICITY//ANTI RAMSEY//RAINBOW MATCHING
10 36718 MECHANICAL COMPARISON//AGR ENGN VINKOVCI//BUILDINGS STRUCTURES DESIGNS

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