Class information for:
Level 1: CUTTING PLANES//LIFT AND PROJECT//SPLIT CUTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11418 983 21.2 42%


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
75 3       OPERATIONS RESEARCH & MANAGEMENT SCIENCE//ENGINEERING, INDUSTRIAL//EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 81966
998 2             APPROXIMATION ALGORITHMS//MATHEMATICAL PROGRAMMING//OPERATIONS RESEARCH & MANAGEMENT SCIENCE 10443
11418 1                   CUTTING PLANES//LIFT AND PROJECT//SPLIT CUTS 983

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 CUTTING PLANES authKW 1471457 14% 35% 134
2 LIFT AND PROJECT authKW 686176 3% 82% 27
3 SPLIT CUTS authKW 621238 2% 100% 20
4 STABLE SET POLYTOPE authKW 458742 2% 62% 24
5 MATHEMATICAL PROGRAMMING journal 453175 22% 7% 213
6 MIXED INTEGER ROUNDING authKW 418513 2% 84% 16
7 POLYHEDRAL COMBINATORICS authKW 413281 5% 28% 47
8 EXTENDED FORMULATIONS authKW 385467 2% 56% 22
9 INTEGER PROGRAMMING authKW 252535 15% 6% 147
10 EXTENSION COMPLEXITY authKW 228725 1% 82% 9

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 Operations Research & Management Science 82648 65% 0% 642
2 Mathematics, Applied 19926 56% 0% 552
3 Computer Science, Software Engineering 10257 24% 0% 234
4 Computer Science, Theory & Methods 360 6% 0% 58
5 Mathematics 346 10% 0% 94
6 Computer Science, Interdisciplinary Applications 246 5% 0% 48
7 Management 178 3% 0% 33
8 Computer Science, Hardware & Architecture 105 2% 0% 21
9 Computer Science, Information Systems 48 2% 0% 24
10 Engineering, Industrial 13 1% 0% 9

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 TEPPER BUSINESS 93241 5% 6% 50
2 INMA 81149 1% 29% 9
3 MATH IMO 70995 0% 57% 4
4 DISOPT 69888 0% 75% 3
5 INFORMAT DISTRIBUT IMAG 62124 0% 100% 2
6 IFOR 49694 0% 40% 4
7 MATH OPTIMIERUNG 46584 1% 25% 6
8 FMA IMO 41415 0% 67% 2
9 LIMOS COMPLEXE SCI CEZEAUX 41415 0% 67% 2
10 OPTCOM 41415 0% 67% 2

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 MATHEMATICAL PROGRAMMING 453175 22% 7% 213
2 DISCRETE OPTIMIZATION 162875 5% 12% 45
3 OPERATIONS RESEARCH LETTERS 113990 10% 4% 101
4 MATHEMATICS OF OPERATIONS RESEARCH 73961 7% 4% 67
5 DISCRETE APPLIED MATHEMATICS 26704 8% 1% 75
6 INFORMS JOURNAL ON COMPUTING 25631 3% 3% 25
7 SIAM JOURNAL ON DISCRETE MATHEMATICS 21880 4% 2% 38
8 SIAM JOURNAL ON OPTIMIZATION 13535 3% 2% 28
9 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH 10047 1% 4% 9
10 ANNALS OF OPERATIONS RESEARCH 7750 3% 1% 29

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 CUTTING PLANES 1471457 14% 35% 134 Search CUTTING+PLANES Search CUTTING+PLANES
2 LIFT AND PROJECT 686176 3% 82% 27 Search LIFT+AND+PROJECT Search LIFT+AND+PROJECT
3 SPLIT CUTS 621238 2% 100% 20 Search SPLIT+CUTS Search SPLIT+CUTS
4 STABLE SET POLYTOPE 458742 2% 62% 24 Search STABLE+SET+POLYTOPE Search STABLE+SET+POLYTOPE
5 MIXED INTEGER ROUNDING 418513 2% 84% 16 Search MIXED+INTEGER+ROUNDING Search MIXED+INTEGER+ROUNDING
6 POLYHEDRAL COMBINATORICS 413281 5% 28% 47 Search POLYHEDRAL+COMBINATORICS Search POLYHEDRAL+COMBINATORICS
7 EXTENDED FORMULATIONS 385467 2% 56% 22 Search EXTENDED+FORMULATIONS Search EXTENDED+FORMULATIONS
8 INTEGER PROGRAMMING 252535 15% 6% 147 Search INTEGER+PROGRAMMING Search INTEGER+PROGRAMMING
9 EXTENSION COMPLEXITY 228725 1% 82% 9 Search EXTENSION+COMPLEXITY Search EXTENSION+COMPLEXITY
10 MIXED INTEGER PROGRAMMING 224328 10% 7% 99 Search MIXED+INTEGER+PROGRAMMING Search MIXED+INTEGER+PROGRAMMING

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 DEL PIA, A , WEISMANTEL, R , (2016) RELAXATIONS OF MIXED INTEGER SETS FROM LATTICE-FREE POLYHEDRA.ANNALS OF OPERATIONS RESEARCH. VOL. 240. ISSUE 1. P. 95 -117 42 95% 0
2 BASU, A , HILDEBRAND, R , KOPPE, M , (2016) LIGHT ON THE INFINITE GROUP RELAXATION II: SUFFICIENT CONDITIONS FOR EXTREMALITY, SEQUENCES, AND ALGORITHMS.4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH. VOL. 14. ISSUE 2. P. 107 -131 33 94% 1
3 BASU, A , HILDEBRAND, R , KOPPE, M , (2016) LIGHT ON THE INFINITE GROUP RELAXATION I: FOUNDATIONS AND TAXONOMY.4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH. VOL. 14. ISSUE 1. P. 1 -40 33 94% 1
4 BASU, A , CONFORTI, M , DI SUMMA, M , (2015) A GEOMETRIC APPROACH TO CUT-GENERATING FUNCTIONS.MATHEMATICAL PROGRAMMING. VOL. 151. ISSUE 1. P. 153 -189 33 94% 0
5 DEL PIA, A , WEISMANTEL, R , (2012) RELAXATIONS OF MIXED INTEGER SETS FROM LATTICE-FREE POLYHEDRA.4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH. VOL. 10. ISSUE 3. P. 221 -244 30 94% 3
6 CORNUEJOLS, G , (2008) VALID INEQUALITIES FOR MIXED INTEGER LINEAR PROGRAMS.MATHEMATICAL PROGRAMMING. VOL. 112. ISSUE 1. P. 3 -44 29 94% 43
7 DEY, SS , LOUVEAUX, Q , (2011) SPLIT RANK OF TRIANGLE AND QUADRILATERAL INEQUALITIES.MATHEMATICS OF OPERATIONS RESEARCH. VOL. 36. ISSUE 3. P. 432 -461 24 100% 5
8 DASH, S , GUNLUK, O , VIELMA, JP , (2014) COMPUTATIONAL EXPERIMENTS WITH CROSS AND CROOKED CROSS CUTS.INFORMS JOURNAL ON COMPUTING. VOL. 26. ISSUE 4. P. 780 -797 22 100% 1
9 DASH, S , GUNLUK, O , MOLINARO, M , (2015) ON THE RELATIVE STRENGTH OF DIFFERENT GENERALIZATIONS OF SPLIT CUTS.DISCRETE OPTIMIZATION. VOL. 16. ISSUE . P. 36 -50 21 100% 0
10 BASU, A , HILDEBRAND, R , KOPPE, M , (2015) EQUIVARIANT PERTURBATION IN GOMORY AND JOHNSON'S INFINITE GROUP PROBLEM. I. THE ONE-DIMENSIONAL CASE.MATHEMATICS OF OPERATIONS RESEARCH. VOL. 40. ISSUE 1. P. 105 -129 20 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 13927 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING
2 12798 MULTIDIMENSIONAL KNAPSACK PROBLEM//KNAPSACK PROBLEM//GENERALIZED ASSIGNMENT PROBLEM
3 24917 LINEAR ORDERING PROBLEM//LINEAR ORDERING POLYTOPE//NOISING METHOD
4 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
5 22785 ARC ROUTING//CAPACITATED ARC ROUTING PROBLEM//RURAL POSTMAN PROBLEM
6 14302 BASE POLYHEDRON//VALUATED MATROID//SUBMODULAR FUNCTION
7 12252 HUB LOCATION//HUB LOCATION PROBLEM//SERVICE NETWORK DESIGN
8 9133 APPROXIMATION ALGORITHMS//EDGE CONNECTIVITY//CONNECTIVITY AUGMENTATION
9 24233 MAXIMUM CLIQUE//MAXIMUM CLIQUE PROBLEM//CLIQUE RELAXATIONS
10 6537 LOT SIZING//CAPACITATED LOT SIZING//LOT SIZING AND SCHEDULING

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