Class information for:
Level 1: FORBIDDEN CONFIGURATIONS//SHATTERED SET//SPERNER CAPACITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
30163 173 15.5 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
303 2             DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//JOURNAL OF COMBINATORIAL THEORY SERIES B 18557
30163 1                   FORBIDDEN CONFIGURATIONS//SHATTERED SET//SPERNER CAPACITY 173

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 FORBIDDEN CONFIGURATIONS authKW 1964575 9% 70% 16
2 SHATTERED SET authKW 1235540 4% 100% 7
3 SPERNER CAPACITY authKW 1081095 4% 88% 7
4 SUBHYPERGRAPH authKW 706023 2% 100% 4
5 SHANNON CAPACITY authKW 653950 10% 22% 17
6 SHANNON CAPACITY OF GRAPHS authKW 529517 2% 100% 3
7 EXTREMAL SET THEORY authKW 445890 7% 21% 12
8 GRAPH CAPACITIES authKW 397136 2% 75% 3
9 INCLUSION MATRIX authKW 397136 2% 75% 3
10 UNIFORM FAMILY authKW 353011 1% 100% 2

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 5032 73% 0% 126
2 Mathematics, Applied 706 26% 0% 45
3 Computer Science, Information Systems 284 11% 0% 19
4 Computer Science, Theory & Methods 109 8% 0% 13
5 Logic 102 2% 0% 3
6 Engineering, Electrical & Electronic 22 9% 0% 16
7 Computer Science, Hardware & Architecture 4 1% 0% 2
8 Operations Research & Management Science 1 1% 0% 2
9 Computer Science, Software Engineering 1 1% 0% 2
10 Statistics & Probability 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 MACHINE IND AUTOMATIZAT TECH 176506 1% 100% 1
2 CITR TAMAKI 44125 1% 25% 1
3 ALFRED RENYI MATH 31443 6% 2% 10
4 INRIA SUD OUEST 29416 1% 17% 1
5 ENGN COMP SCI TECHNOL 25213 1% 14% 1
6 PEF 13572 2% 3% 3
7 COMP AUTOMAT 8820 4% 1% 7
8 ALFRED RENYI 8021 1% 5% 1
9 IST MATEMAT COMPUTAZ 7672 1% 4% 1
10 DIPARTIMENTO INGN INFORMAT AUTOMAT GEST ANTONIO 6787 1% 4% 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 GRAPHS AND COMBINATORICS 26287 10% 1% 17
2 JOURNAL OF COMBINATORIAL THEORY SERIES A 19430 11% 1% 19
3 COMBINATORICA 18916 7% 1% 12
4 ELECTRONIC JOURNAL OF COMBINATORICS 15945 9% 1% 15
5 SIAM JOURNAL ON DISCRETE MATHEMATICS 8620 6% 0% 10
6 DISCRETE MATHEMATICS 5439 11% 0% 19
7 IEEE TRANSACTIONS ON INFORMATION THEORY 4244 9% 0% 15
8 EUROPEAN JOURNAL OF COMBINATORICS 3670 5% 0% 8
9 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 2650 2% 1% 3
10 JOURNAL OF ALGEBRAIC COMBINATORICS 2518 2% 0% 4

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 FORBIDDEN CONFIGURATIONS 1964575 9% 70% 16 Search FORBIDDEN+CONFIGURATIONS Search FORBIDDEN+CONFIGURATIONS
2 SHATTERED SET 1235540 4% 100% 7 Search SHATTERED+SET Search SHATTERED+SET
3 SPERNER CAPACITY 1081095 4% 88% 7 Search SPERNER+CAPACITY Search SPERNER+CAPACITY
4 SUBHYPERGRAPH 706023 2% 100% 4 Search SUBHYPERGRAPH Search SUBHYPERGRAPH
5 SHANNON CAPACITY 653950 10% 22% 17 Search SHANNON+CAPACITY Search SHANNON+CAPACITY
6 SHANNON CAPACITY OF GRAPHS 529517 2% 100% 3 Search SHANNON+CAPACITY+OF+GRAPHS Search SHANNON+CAPACITY+OF+GRAPHS
7 EXTREMAL SET THEORY 445890 7% 21% 12 Search EXTREMAL+SET+THEORY Search EXTREMAL+SET+THEORY
8 GRAPH CAPACITIES 397136 2% 75% 3 Search GRAPH+CAPACITIES Search GRAPH+CAPACITIES
9 INCLUSION MATRIX 397136 2% 75% 3 Search INCLUSION+MATRIX Search INCLUSION+MATRIX
10 UNIFORM FAMILY 353011 1% 100% 2 Search UNIFORM+FAMILY Search UNIFORM+FAMILY

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 ANSTEE, RP , (2013) A SURVEY OF FORBIDDEN CONFIGURATION RESULTS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 1. P. - 34 71% 1
2 ANSTEE, RP , (2013) A SURVEY OF FORBIDDEN CONFIGURATION RESULTS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. . ISSUE . P. - 34 71% 0
3 ANSTEE, RP , FLEMING, B , (2011) LINEAR ALGEBRA METHODS FOR FORBIDDEN CONFIGURATIONS.COMBINATORICA. VOL. 31. ISSUE 1. P. 1-19 10 91% 3
4 ANSTEE, RP , SALI, A , (2016) LARGE FORBIDDEN CONFIGURATIONS AND DESIGN THEORY.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 53. ISSUE 2. P. 157 -166 9 90% 0
5 SIMONYI, G , TOTH, A , (2015) DILWORTH RATE: A GENERALIZATION OF WITSENHAUSEN'S ZERO-ERROR RATE FOR DIRECTED GRAPHS.IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 61. ISSUE 2. P. 715 -726 13 62% 0
6 BRIGHTWELL, G , COHEN, G , FACHINI, E , FAIRTHORNE, M , KORNER, J , SIMONYI, G , TOTH, A , (2010) PERMUTATION CAPACITIES OF FAMILIES OF ORIENTED INFINITE PATHS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 24. ISSUE 2. P. 441-456 12 75% 1
7 KORNER, J , PILOTTO, C , SIMONYI, G , (2005) LOCAL CHROMATIC NUMBER AND SPERNER CAPACITY.JOURNAL OF COMBINATORIAL THEORY SERIES B. VOL. 95. ISSUE 1. P. 101-117 10 83% 20
8 COHEN, G , FACHINI, E , KORNER, J , (2014) CONNECTOR FAMILIES OF GRAPHS.GRAPHS AND COMBINATORICS. VOL. 30. ISSUE 6. P. 1417 -1425 6 100% 0
9 FUREDI, Z , SALI, A , (2012) OPTIMAL MULTIVALUED SHATTERING.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 26. ISSUE 2. P. 737-744 7 88% 2
10 ANSTEE, RP , LU, LY , (2013) REPEATED COLUMNS AND AN OLD CHESTNUT.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 20. ISSUE 4. P. - 6 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 12698 INTERSECTING FAMILY//ERDOS KO RADO THEOREM//CROSS INTERSECTING FAMILY
2 36355 FRANKLS CONJECTURE//NESTED RECURSION//META FIBONACCI SEQUENCE
3 19425 TRAITOR TRACING//DIGITAL FINGERPRINTING//FRAMEPROOF CODES
4 9663 PROPERTY TESTING//GRAPH LIMITS//TURAN DENSITY
5 16086 IEEE TRANSACTIONS ON INFORMATION THEORY//DIRECTED INFORMATION//MISMATCHED DECODING
6 19064 CIRCULAR CHROMATIC NUMBER//CIRCULAR COLORING//PACKING CHROMATIC NUMBER
7 12734 DISTRIBUTED VIDEO CODING//DISTRIBUTED SOURCE CODING//WYNER ZIV CODING
8 17896 LARGE SET//T WISE BALANCED DESIGN//CANDELABRA SYSTEM
9 22363 CLIQUE GRAPHS//ITERATED CLIQUE GRAPHS//CLIQUE DIVERGENCE
10 10403 RAMSEY NUMBER//MULTICOLOR RAMSEY NUMBER//JOURNAL OF GRAPH THEORY

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