Class information for:
Level 1: INTERSECTING FAMILY//ERDOS KO RADO THEOREM//CROSS INTERSECTING FAMILY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12698 887 14.5 35%


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
181 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 56539
3262 2             GROUP TESTING//POOLING DESIGN//INTERSECTING FAMILY 1944
12698 1                   INTERSECTING FAMILY//ERDOS KO RADO THEOREM//CROSS INTERSECTING FAMILY 887

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 INTERSECTING FAMILY authKW 1446258 6% 76% 55
2 ERDOS KO RADO THEOREM authKW 1161786 5% 75% 45
3 CROSS INTERSECTING FAMILY authKW 722903 2% 100% 21
4 ERDOS KO RADO authKW 672332 3% 78% 25
5 DISTANCE GRAPH authKW 385972 3% 39% 29
6 MACAULAY POSET authKW 309816 1% 100% 9
7 BORSUK PROBLEM authKW 240968 1% 100% 7
8 DERANGEMENT GRAPH authKW 210845 1% 88% 7
9 EXTREMAL SET THEORY authKW 195648 2% 32% 18
10 HILTON MILNER THEOREM authKW 172120 1% 100% 5

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 36748 87% 0% 768
2 Mathematics, Applied 1583 18% 0% 157
3 Computer Science, Theory & Methods 683 8% 0% 73
4 Statistics & Probability 103 3% 0% 28
5 COMPUTER APPLICATIONS & CYBERNETICS 49 0% 0% 2
6 Logic 1 0% 0% 1
7 Operations Research & Management Science -0 0% 0% 4
8 Computer Science, Software Engineering -0 0% 0% 4
9 Computer Science, Information Systems -0 1% 0% 5
10 Computer Science, Artificial Intelligence -1 0% 0% 4

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 MATH STAT RANDOM PROC 154905 1% 75% 6
2 ER COMBINATOIRE 175 137696 0% 100% 4
3 HCMC VNU 68848 0% 100% 2
4 INNOVAT HIGH TECHNOL 57367 1% 33% 5
5 INNOVAT HIGHER TECHNOL 45897 0% 67% 2
6 ADV MATH PROGRAM K54 34424 0% 100% 1
7 ALLFRED RENYI MATH 34424 0% 100% 1
8 AUTONOMOUS SYST SENSING TECHNOL PROGRAMME 34424 0% 100% 1
9 CHAMPLAIN REG 34424 0% 100% 1
10 ER 175 COMBINATOIRE 34424 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 JOURNAL OF COMBINATORIAL THEORY SERIES A 169394 14% 4% 127
2 DISCRETE MATHEMATICS 67168 17% 1% 151
3 COMBINATORICA 64032 6% 4% 50
4 EUROPEAN JOURNAL OF COMBINATORICS 33867 6% 2% 55
5 ELECTRONIC JOURNAL OF COMBINATORICS 24344 5% 2% 42
6 GRAPHS AND COMBINATORICS 20467 4% 2% 34
7 DOKLADY MATHEMATICS 15363 4% 1% 37
8 COMBINATORICS PROBABILITY & COMPUTING 12221 2% 2% 18
9 PROBLEMS OF INFORMATION TRANSMISSION 9499 1% 3% 9
10 MATHEMATICAL NOTES 7032 4% 1% 32

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 INTERSECTING FAMILY 1446258 6% 76% 55 Search INTERSECTING+FAMILY Search INTERSECTING+FAMILY
2 ERDOS KO RADO THEOREM 1161786 5% 75% 45 Search ERDOS+KO+RADO+THEOREM Search ERDOS+KO+RADO+THEOREM
3 CROSS INTERSECTING FAMILY 722903 2% 100% 21 Search CROSS+INTERSECTING+FAMILY Search CROSS+INTERSECTING+FAMILY
4 ERDOS KO RADO 672332 3% 78% 25 Search ERDOS+KO+RADO Search ERDOS+KO+RADO
5 DISTANCE GRAPH 385972 3% 39% 29 Search DISTANCE+GRAPH Search DISTANCE+GRAPH
6 MACAULAY POSET 309816 1% 100% 9 Search MACAULAY+POSET Search MACAULAY+POSET
7 BORSUK PROBLEM 240968 1% 100% 7 Search BORSUK+PROBLEM Search BORSUK+PROBLEM
8 DERANGEMENT GRAPH 210845 1% 88% 7 Search DERANGEMENT+GRAPH Search DERANGEMENT+GRAPH
9 EXTREMAL SET THEORY 195648 2% 32% 18 Search EXTREMAL+SET+THEORY Search EXTREMAL+SET+THEORY
10 HILTON MILNER THEOREM 172120 1% 100% 5 Search HILTON+MILNER+THEOREM Search HILTON+MILNER+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 FRANKL, P , TOKUSHIGE, N , (2016) INVITATION TO INTERSECTION PROBLEMS FOR FINITE SETS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 144. ISSUE . P. 157 -211 54 79% 1
2 KU, CY , WONG, KB , (2016) A NON-TRIVIAL INTERSECTION THEOREM FOR PERMUTATIONS WITH FIXED NUMBER OF CYCLES.DISCRETE MATHEMATICS. VOL. 339. ISSUE 2. P. 646 -657 38 100% 0
3 BORG, P , (2016) THE MAXIMUM PRODUCT OF WEIGHTS OF CROSS-INTERSECTING FAMILIES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 94. ISSUE . P. 993 -1018 37 100% 0
4 KU, CY , WONG, KB , (2015) A DEZA-FRANKL TYPE THEOREM FOR SET PARTITIONS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 22. ISSUE 1. P. - 36 100% 0
5 KU, CY , WONG, KB , (2015) AN ANALOGUE OF THE HILTON-MILNER THEOREM FOR WEAK COMPOSITIONS.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 3. P. 1007 -1025 35 100% 1
6 BORG, P , (2014) STRONGLY INTERSECTING INTEGER PARTITIONS.DISCRETE MATHEMATICS. VOL. 336. ISSUE . P. 80 -84 36 100% 0
7 RAIGORODSKII, AM , (2016) COMBINATORIAL GEOMETRY AND CODING THEORY.FUNDAMENTA INFORMATICAE. VOL. 145. ISSUE 3. P. 359 -369 31 94% 1
8 KU, CY , WONG, KB , (2014) AN ERDOS-KO-RADO THEOREM FOR PERMUTATIONS WITH FIXED NUMBER OF CYCLES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 21. ISSUE 3. P. - 28 100% 0
9 KU, CY , WONG, KB , (2013) AN ANALOGUE OF THE ERDOS-KO-RADO THEOREM FOR WEAK COMPOSITIONS.DISCRETE MATHEMATICS. VOL. 313. ISSUE 21. P. 2463 -2468 25 100% 1
10 BORG, P , (2014) THE MAXIMUM SUM AND THE MAXIMUM PRODUCT OF SIZES OF CROSS-INTERSECTING FAMILIES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 35. ISSUE . P. 117-130 22 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 30163 FORBIDDEN CONFIGURATIONS//SHATTERED SET//SPERNER CAPACITY
2 26329 MATH INF//NORMALIZED MATCHING PROPERTY//LYM PROPERTY
3 19064 CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER
4 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY
5 36355 FRANKLS CONJECTURE//NESTED RECURSION//META FIBONACCI SEQUENCE
6 15230 LINEAR ARBORICITY//ANTI RAMSEY//RAINBOW MATCHING
7 23973 LINEAR DISCREPANCY//ANTIBANDWIDTH//WEAK DISCREPANCY
8 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
9 21009 GRAPH COVERING//IHARA ZETA FUNCTION//RAMANUJAN GRAPH
10 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY

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