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Volumn 6, Issue 2, 2009, Pages 135-147

Set covering and packing formulations of graph coloring: Algorithms and first polyhedral results

Author keywords

Branch cut and price algorithm; Facets; Graph coloring; Stable sets

Indexed keywords

COMPUTATIONAL EFFICIENCY; FORESTRY; INTEGER PROGRAMMING; LINEAR PROGRAMMING; TREES (MATHEMATICS);

EID: 59849104234     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2008.10.004     Document Type: Article
Times cited : (39)

References (16)
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    • On the set covering polytope: I. All the facets with coefficients in {0, 1, 2}
    • Balas E., and Ng S.M. On the set covering polytope: I. All the facets with coefficients in {0, 1, 2}. Mathematical Programming 43 (1989) 57-69
    • (1989) Mathematical Programming , vol.43 , pp. 57-69
    • Balas, E.1    Ng, S.M.2
  • 2
    • 0034156185 scopus 로고    scopus 로고
    • Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems
    • Barnhart C., Hane C.A., and Vance P.H. Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems. Operations Research 48 2 (2000) 318-326
    • (2000) Operations Research , vol.48 , Issue.2 , pp. 318-326
    • Barnhart, C.1    Hane, C.A.2    Vance, P.H.3
  • 7
    • 84987487244 scopus 로고
    • The fractional chromatic number of Mycielski's graphs
    • Larsen M., Propp J., and Ullman D. The fractional chromatic number of Mycielski's graphs. Journal of Graph Theory 19 (1995) 411-416
    • (1995) Journal of Graph Theory , vol.19 , pp. 411-416
    • Larsen, M.1    Propp, J.2    Ullman, D.3
  • 8
    • 0001515729 scopus 로고    scopus 로고
    • A column generation approach for graph coloring
    • Mehrotra A., and Trick M.A. A column generation approach for graph coloring. INFORMS, Journal on Computing 8 4 (1996) 344-354
    • (1996) INFORMS, Journal on Computing , vol.8 , Issue.4 , pp. 344-354
    • Mehrotra, A.1    Trick, M.A.2
  • 9
    • 0000209970 scopus 로고
    • Sur le coloriage des graphes
    • (in French)
    • Mycielski J. Sur le coloriage des graphes. Colloquium Mathematicum 3 (1955) 161-162 (in French)
    • (1955) Colloquium Mathematicum , vol.3 , pp. 161-162
    • Mycielski, J.1
  • 11
    • 34250429350 scopus 로고
    • On the facial structure of set packing polyhedra
    • Padberg M.W. On the facial structure of set packing polyhedra. Mathematical Programming 5 (1973) 199-215
    • (1973) Mathematical Programming , vol.5 , pp. 199-215
    • Padberg, M.W.1
  • 12
    • 34249974553 scopus 로고
    • On the facial structure of the set covering polytope
    • Sassano A. On the facial structure of the set covering polytope. Mathematical Programming 44 (1989) 181-202
    • (1989) Mathematical Programming , vol.44 , pp. 181-202
    • Sassano, A.1
  • 16
    • 3142739751 scopus 로고    scopus 로고
    • 2 graph coloring problem
    • 2 graph coloring problem. Journal of Heuristics 10 4 (2004) 407-413
    • (2004) Journal of Heuristics , vol.10 , Issue.4 , pp. 407-413
    • Vasquez, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.