Class information for:
Level 1: HELLY TYPE THEOREM//LINE TRANSVERSAL//GEOMETRIC PERMUTATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16608 645 15.0 34%


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
16608 1                   HELLY TYPE THEOREM//LINE TRANSVERSAL//GEOMETRIC PERMUTATION 645

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 HELLY TYPE THEOREM authKW 494768 3% 58% 18
2 LINE TRANSVERSAL authKW 440626 2% 85% 11
3 GEOMETRIC PERMUTATION authKW 394500 2% 83% 10
4 TVERBERGS THEOREM authKW 381873 2% 73% 11
5 DISCRETE & COMPUTATIONAL GEOMETRY journal 364961 20% 6% 126
6 BORSUK ULAM THEOREM authKW 313265 2% 44% 15
7 FIXED POINT FREE MAP authKW 284042 1% 100% 6
8 HELLYS THEOREM authKW 259776 2% 37% 15
9 COLOURFUL CARATHEODORY THEOREM authKW 236702 1% 100% 5
10 COLOURFUL SIMPLICIAL DEPTH authKW 236702 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 28968 90% 0% 581
2 Computer Science, Theory & Methods 4669 24% 0% 153
3 Mathematics, Applied 2476 25% 0% 163
4 COMPUTER APPLICATIONS & CYBERNETICS 16 0% 0% 1
5 Computer Science, Information Systems 2 1% 0% 7
6 Computer Science, Hardware & Architecture 0 0% 0% 3
7 Operations Research & Management Science -0 0% 0% 3
8 Law -0 0% 0% 2
9 Computer Science, Software Engineering -0 0% 0% 3
10 Multidisciplinary Sciences -0 0% 0% 1

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 COMPUTAT GEOMETRY 189353 1% 50% 8
2 AGENCIA JARDIM PAULISTANO 94681 0% 100% 2
3 BN DELONE INT DISCRETE COMPUTAT GEOMETRY 94681 0% 100% 2
4 MATEMAT ESTATISCA 94681 0% 100% 2
5 EPFL SB MATHGEOM DCG 63119 0% 67% 2
6 PROJET COPRIN 63119 0% 67% 2
7 BN DELONE INT DISCRETE COMPUTAT CHEM 47340 0% 100% 1
8 ESTUARIES SEAS 47340 0% 100% 1
9 INFORMAT SCI MATH S 47340 0% 100% 1
10 MATEMAT ICMC 47340 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 & COMPUTATIONAL GEOMETRY 364961 20% 6% 126
2 TOPOLOGY AND ITS APPLICATIONS 12395 6% 1% 40
3 COMBINATORICA 8999 2% 1% 16
4 COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS 7396 2% 1% 13
5 JOURNAL OF TOPOLOGY AND ANALYSIS 6388 1% 3% 5
6 JOURNAL OF COMBINATORIAL THEORY SERIES A 4651 3% 1% 18
7 EUROPEAN JOURNAL OF COMBINATORICS 4430 3% 1% 17
8 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 4155 1% 1% 6
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3419 5% 0% 35
10 DISCRETE MATHEMATICS 2913 4% 0% 27

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 HELLY TYPE THEOREM 494768 3% 58% 18 Search HELLY+TYPE+THEOREM Search HELLY+TYPE+THEOREM
2 LINE TRANSVERSAL 440626 2% 85% 11 Search LINE+TRANSVERSAL Search LINE+TRANSVERSAL
3 GEOMETRIC PERMUTATION 394500 2% 83% 10 Search GEOMETRIC+PERMUTATION Search GEOMETRIC+PERMUTATION
4 TVERBERGS THEOREM 381873 2% 73% 11 Search TVERBERGS+THEOREM Search TVERBERGS+THEOREM
5 BORSUK ULAM THEOREM 313265 2% 44% 15 Search BORSUK+ULAM+THEOREM Search BORSUK+ULAM+THEOREM
6 FIXED POINT FREE MAP 284042 1% 100% 6 Search FIXED+POINT+FREE+MAP Search FIXED+POINT+FREE+MAP
7 HELLYS THEOREM 259776 2% 37% 15 Search HELLYS+THEOREM Search HELLYS+THEOREM
8 COLOURFUL CARATHEODORY THEOREM 236702 1% 100% 5 Search COLOURFUL+CARATHEODORY+THEOREM Search COLOURFUL+CARATHEODORY+THEOREM
9 COLOURFUL SIMPLICIAL DEPTH 236702 1% 100% 5 Search COLOURFUL+SIMPLICIAL+DEPTH Search COLOURFUL+SIMPLICIAL+DEPTH
10 MEASURE PARTITION 236702 1% 100% 5 Search MEASURE+PARTITION Search MEASURE+PARTITION

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 KARASEV, RN , (2008) TOPOLOGICAL METHODS IN COMBINATORIAL GEOMETRY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 63. ISSUE 6. P. 1031 -1078 50 86% 0
2 MATSCHKE, B , (2014) A PARAMETRIZED VERSION OF THE BORSUK-ULAM-BOURGIN-YANG-VOLOVIKOV THEOREM.JOURNAL OF TOPOLOGY AND ANALYSIS. VOL. 6. ISSUE 2. P. 263-280 30 100% 0
3 SINGH, M , (2017) EQUIVARIANT MAPS FROM STIEFEL BUNDLES TO VECTOR BUNDLES.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 60. ISSUE 1. P. 231 -250 16 94% 0
4 KARASEV, R , MATSCHKE, B , (2014) PROJECTIVE CENTER POINT AND TVERBERG THEOREMS.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 52. ISSUE 1. P. 88 -101 17 89% 0
5 KARASEV, RN , ROLDAN-PENSADO, E , SOBERON, P , (2016) MEASURE PARTITIONS USING HYPERPLANES WITH FIXED DIRECTIONS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 212. ISSUE 2. P. 705 -728 16 89% 0
6 DE VERDIERE, EC , GINOT, G , GOAOC, X , (2014) HELLY NUMBERS OF ACYCLIC FAMILIES.ADVANCES IN MATHEMATICS. VOL. 253. ISSUE . P. 163-193 18 72% 1
7 SOBERON, P , (2015) EQUAL COEFFICIENTS AND TOLERANCE IN COLOURED TVERBERG PARTITIONS.COMBINATORICA. VOL. 35. ISSUE 2. P. 235 -252 15 79% 0
8 DEZA, A , MEUNIER, F , SARRABEZOLLES, P , (2014) A COMBINATORIAL APPROACH TO COLOURFUL SIMPLICIAL DEPTH.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 28. ISSUE 1. P. 306 -322 12 100% 0
9 SOBERON, P , (2016) HELLY-TYPE THEOREMS FOR THE DIAMETER.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 48. ISSUE . P. 577 -588 12 92% 0
10 HEPPES, A , (2009) TRANSVERSALS WITH RESIDUE IN MODERATELY OVERLAPPING T(K)-FAMILIES OF TRANSLATES.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. VOL. 52. ISSUE 3. P. 388-402 13 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 30563 ERDOS SZEKERES THEOREM//EMPTY CONVEX POLYGONS//ERDOS SZEKERES PROBLEM
2 35850 CHARACTERISTIC RANK//CUP LENGTH//ALGEBRA GEOMETRY MATH EDUC
3 15639 HIRSCH CONJECTURE//DISCRETE & COMPUTATIONAL GEOMETRY//ORIENTED MATROID
4 898 COMPUTATIONAL GEOMETRY//COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS//INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
5 19064 CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER
6 35391 Z2K ACTION//PROJECTIVE SPACE BUNDLE//FIXED DATA
7 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
8 25454 SKEW LOOP//TANTRIX//FOUR VERTEX THEOREM
9 23149 CAKE CUTTING//FAIR DIVISION//TEARDOWNS
10 13008 PERSISTENT HOMOLOGY//DISCRETE MORSE THEORY//COMPUTATIONAL TOPOLOGY

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