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Volumn 420, Issue 2-3, 2007, Pages 441-448

Unimodularity of the Clar number problem

Author keywords

Clar number; Fries number; Plane bipartite graphs; Polyhedral combinatorics; Unimodular matrices

Indexed keywords

GRAPH THEORY; INTEGER PROGRAMMING; LINEAR PROGRAMMING; MATRIX ALGEBRA; OPTIMIZATION;

EID: 33751011916     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.07.026     Document Type: Article
Times cited : (44)

References (12)
  • 1
    • 22044448345 scopus 로고    scopus 로고
    • Polyhedral combinatorics of benzenoid problems
    • Proceedings of 6th Conference on Integer Programming and Combinatorial Optimization. Bixby R.E., Boyd E.A., and Rios-Mercado R.Z. (Eds), Springer, Berlin
    • Abeledo H., and Atkinson G.W. Polyhedral combinatorics of benzenoid problems. In: Bixby R.E., Boyd E.A., and Rios-Mercado R.Z. (Eds). Proceedings of 6th Conference on Integer Programming and Combinatorial Optimization. Lect. Notes Comput. Sci. vol. 1412 (1998), Springer, Berlin 202-212
    • (1998) Lect. Notes Comput. Sci. , vol.1412 , pp. 202-212
    • Abeledo, H.1    Atkinson, G.W.2
  • 2
    • 0009800696 scopus 로고    scopus 로고
    • The Clar and Fries problems for benzenoid hydrocarbons are linear programs
    • Proceedings of the DIMACS Workshop on Discrete Mathematical Chemistry. Hansen P., Fowler P., and Zheng M. (Eds), Amer. Math. Soc., Providence, RI
    • Abeledo H., and Atkinson G.W. The Clar and Fries problems for benzenoid hydrocarbons are linear programs. In: Hansen P., Fowler P., and Zheng M. (Eds). Proceedings of the DIMACS Workshop on Discrete Mathematical Chemistry. DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 51 (2000), Amer. Math. Soc., Providence, RI 1-8
    • (2000) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.51 , pp. 1-8
    • Abeledo, H.1    Atkinson, G.W.2
  • 3
    • 33751013113 scopus 로고    scopus 로고
    • G.W. Atkinson, Combinatorial Optimization on Planar Bipartite Graphs via Unimodular Matrices, Doctoral Dissertation, The George Washington University, Washington, 1998.
  • 5
    • 84970623345 scopus 로고
    • Uber Byclische Verbindungen und ihren Vergleich mit dem Naphtalin
    • Fries K. Uber Byclische Verbindungen und ihren Vergleich mit dem Naphtalin. Ann. Chem. 454 (1927) 121-324
    • (1927) Ann. Chem. , vol.454 , pp. 121-324
    • Fries, K.1
  • 6
    • 21344486039 scopus 로고
    • The Clar number of a benzenoid hydrocarbon and linear programming
    • Hansen P., and Zheng M. The Clar number of a benzenoid hydrocarbon and linear programming. J. Math. Chem. 15 (1994) 93-107
    • (1994) J. Math. Chem. , vol.15 , pp. 93-107
    • Hansen, P.1    Zheng, M.2
  • 7
    • 0028400156 scopus 로고
    • Numerical bounds for the perfect matching vectors of a polyhex
    • Hansen P., and Zheng M. Numerical bounds for the perfect matching vectors of a polyhex. J. Chem. Inf. Comput. Sci. 34 (1994) 305-308
    • (1994) J. Chem. Inf. Comput. Sci. , vol.34 , pp. 305-308
    • Hansen, P.1    Zheng, M.2
  • 8
    • 0002013145 scopus 로고
    • Integral boundary points of convex polyhedra
    • Kuhn H.W., and Tucker A.W. (Eds), Princeton University Press, New Jersey
    • Hoffman A.J., and Kruskal J.B. Integral boundary points of convex polyhedra. In: Kuhn H.W., and Tucker A.W. (Eds). Linear Inequalities and Related Systems (1956), Princeton University Press, New Jersey 223-246
    • (1956) Linear Inequalities and Related Systems , pp. 223-246
    • Hoffman, A.J.1    Kruskal, J.B.2
  • 11
    • 1942432145 scopus 로고
    • Algebraic characterizations of unimodular matrices
    • Truemper K. Algebraic characterizations of unimodular matrices. SIAM J. Appl. Math. 35 2 (1978) 328-332
    • (1978) SIAM J. Appl. Math. , vol.35 , Issue.2 , pp. 328-332
    • Truemper, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.