Class information for:
Level 1: ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30563 166 15.2 41%


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
1441 2             GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER 7841
30563 1                   ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM 166

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 ERDOS SZEKERES THEOREM authKW 2658054 10% 85% 17
2 EMPTY CONVEX POLYGONS authKW 1854815 7% 92% 11
3 ERDOS SZEKERES PROBLEM authKW 1391106 7% 69% 11
4 COMBINATORIAL CONVEXITY authKW 1241650 5% 75% 9
5 EDGE ORDERING authKW 1103693 4% 100% 6
6 EMPTY TRIANGLES authKW 946020 4% 86% 6
7 K HOLES authKW 919744 3% 100% 5
8 COLORED POINT SETS authKW 656957 3% 71% 5
9 CONVEX POLYGONS AND POLYHEDRA authKW 551846 2% 100% 3
10 DEFICIENT POINT SET authKW 551846 2% 100% 3

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 6518 84% 0% 140
2 Computer Science, Theory & Methods 942 21% 0% 35
3 Mathematics, Applied 672 26% 0% 43
4 Computer Science, Software Engineering 20 3% 0% 5
5 Statistics & Probability 17 3% 0% 5
6 Computer Science, Information Systems -0 1% 0% 1
7 Physics, Condensed Matter -1 1% 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 DEP SISTEMAS 183949 1% 100% 1
2 COMP SCI ITI 91973 1% 50% 1
3 RENYI MATH 67644 5% 5% 8
4 ALGEBRA SZAMELMELET TANSZEK 61315 1% 33% 1
5 MTA ELTE GEOMETR ALGEBRA COMBINATOR GRP 61315 1% 33% 1
6 UNIV PATTERN RECOGNIT INTELLIGENT INFOR 61315 1% 33% 1
7 CHAIR COMBINATORIAL GEOMETRY 36788 1% 20% 1
8 MATEMAT LICADA 4 31889 5% 2% 8
9 DEP MATEMAT LICADA 2 30656 1% 17% 1
10 MATEMAT FYZ FAK 30656 1% 17% 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 & COMPUTATIONAL GEOMETRY 70020 17% 1% 28
2 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS 28812 8% 1% 13
3 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 15059 4% 1% 7
4 GRAPHS AND COMBINATORICS 3405 4% 0% 6
5 DISCRETE MATHEMATICS 3071 8% 0% 14
6 JOURNAL OF COMBINATORIAL THEORY SERIES A 2740 4% 0% 7
7 MATHEMATICAL NOTES 2354 5% 0% 8
8 PERIODICA MATHEMATICA HUNGARICA 2260 1% 1% 2
9 COMBINATORICA 2185 2% 0% 4
10 EUROPEAN JOURNAL OF COMBINATORICS 2149 4% 0% 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 ERDOS SZEKERES THEOREM 2658054 10% 85% 17 Search ERDOS+SZEKERES+THEOREM Search ERDOS+SZEKERES+THEOREM
2 EMPTY CONVEX POLYGONS 1854815 7% 92% 11 Search EMPTY+CONVEX+POLYGONS Search EMPTY+CONVEX+POLYGONS
3 ERDOS SZEKERES PROBLEM 1391106 7% 69% 11 Search ERDOS+SZEKERES+PROBLEM Search ERDOS+SZEKERES+PROBLEM
4 COMBINATORIAL CONVEXITY 1241650 5% 75% 9 Search COMBINATORIAL+CONVEXITY Search COMBINATORIAL+CONVEXITY
5 EDGE ORDERING 1103693 4% 100% 6 Search EDGE+ORDERING Search EDGE+ORDERING
6 EMPTY TRIANGLES 946020 4% 86% 6 Search EMPTY+TRIANGLES Search EMPTY+TRIANGLES
7 K HOLES 919744 3% 100% 5 Search K+HOLES Search K+HOLES
8 COLORED POINT SETS 656957 3% 71% 5 Search COLORED+POINT+SETS Search COLORED+POINT+SETS
9 CONVEX POLYGONS AND POLYHEDRA 551846 2% 100% 3 Search CONVEX+POLYGONS+AND+POLYHEDRA Search CONVEX+POLYGONS+AND+POLYHEDRA
10 DEFICIENT POINT SET 551846 2% 100% 3 Search DEFICIENT+POINT+SET Search DEFICIENT+POINT+SET

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 MORRIS, W , SOLTAN, V , (2000) THE ERDOS-SZEKERES PROBLEM ON POINTS IN CONVEX POSITION - A SURVEY.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 37. ISSUE 4. P. 437 -458 24 96% 49
2 BHARADWAJ, BVS , GOVINDARAJAN, S , SHARMA, K , (2014) ON THE ERDOS-SZEKERES N-INTERIOR-POINT PROBLEM.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 35. ISSUE . P. 86-94 15 100% 0
3 BASU, D , BASU, K , BHATTACHARYA, BB , DAS, S , (2016) ALMOST EMPTY MONOCHROMATIC TRIANGLES IN PLANAR POINT SETS.DISCRETE APPLIED MATHEMATICS. VOL. 210. ISSUE . P. 207 -213 13 100% 0
4 BARANY, I , ROLDAN-PENSADO, E , TOTH, G , (2015) ERDOS-SZEKERES THEOREM FOR LINES.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 54. ISSUE 3. P. 669 -685 15 79% 0
5 ABEL, Z , BALLINGER, B , BOSE, P , COLLETTE, S , DUJMOVIC, V , HURTADO, F , KOMINERS, SD , LANGERMAN, S , POR, A , WOOD, DR , (2011) EVERY LARGE POINT SET CONTAINS MANY COLLINEAR POINTS OR AN EMPTY PENTAGON.GRAPHS AND COMBINATORICS. VOL. 27. ISSUE 1. P. 47-60 16 76% 4
6 BHATTACHARYA, BB , DAS, S , (2011) ON THE MINIMUM SIZE OF A POINT SET CONTAINING A 5-HOLE AND A DISJOINT 4-HOLE.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 48. ISSUE 4. P. 445 -457 13 87% 3
7 HOSONO, K , (2015) ON THE MINIMUM NUMBER OF MUTUALLY DISJOINT HOLES IN PLANAR POINT SETS.COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS. VOL. 48. ISSUE 9. P. 661 -672 10 100% 0
8 DEVILLERS, O , HURTADO, F , KAROLYI, G , SEARA, C , (2003) CHROMATIC VARIANTS OF THE ERDOS-SZEKERES THEOREM ON POINTS IN CONVEX POSITION.COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS. VOL. 26. ISSUE 3. P. 193-208 17 77% 13
9 SCHURCH, M , MYNHARDT, C , (2014) THE DEPRESSION OF A GRAPH AND K-KERNELS.DISCUSSIONES MATHEMATICAE GRAPH THEORY. VOL. 34. ISSUE 2. P. 233 -247 10 100% 0
10 BHATTACHARYA, BB , DAS, S , (2013) DISJOINT EMPTY CONVEX PENTAGONS IN PLANAR POINT SETS.PERIODICA MATHEMATICA HUNGARICA. VOL. 66. ISSUE 1. P. 73 -86 10 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 5410 GRAPH DRAWING//CROSSING NUMBER//BOOK EMBEDDING
2 15639 HIRSCH CONJECTURE//DISCRETE & COMPUTATIONAL GEOMETRY//ORIENTED MATROID
3 16608 HELLY TYPE THEOREM//LINE TRANSVERSAL//GEOMETRIC PERMUTATION
4 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY
5 23074 EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM
6 37371 ISOMORPHIC FACTORS//PL MATH FEI//ALMOST COMPLETE TRIPARTITE GRAPH
7 27327 CIRCUIT GRAPH OF MATROID//EXPECTED RANK//PATH LAYER MATRIX
8 20526 ART GALLERY PROBLEM//ART GALLERY//ORTHOGONAL POLYGONS
9 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
10 898 COMPUTATIONAL GEOMETRY//COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS//INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS

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