Artículo

Bonomo, F.; Durán, G.; Safe, M.D.; Wagler, A.K. "Balancedness of some subclasses of circular-arc graphs" (2010) Electronic Notes in Discrete Mathematics. 36(C):1121-1128
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Abstract:

A graph is balanced if its clique-vertex incidence matrix is balanced, i.e., it does not contain a square submatrix of odd order with exactly two ones per row and per column. Interval graphs, obtained as intersection graphs of intervals of a line, are well-known examples of balanced graphs. A circular-arc graph is the intersection graph of a family of arcs on a circle. Circular-arc graphs generalize interval graphs, but are not balanced in general. In this work we characterize balanced graphs by minimal forbidden induced subgraphs restricted to graphs that belong to some classes of circular-arc graphs. © 2010 Elsevier B.V.

Registro:

Documento: Artículo
Título:Balancedness of some subclasses of circular-arc graphs
Autor:Bonomo, F.; Durán, G.; Safe, M.D.; Wagler, A.K.
Filiación:CONICET and Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
CONICET and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Departamento de Ingeniería Industrial, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile
Instituto de Ciencias, Universidad Nacional de General Sarmiento, Los Polvorines, Argentina
Institut für Mathematische Optimierung, Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg, Germany
Palabras clave:Balanced graphs; Circular-arc graphs; Forbidden subgraphs; Perfect graphs
Año:2010
Volumen:36
Número:C
Página de inicio:1121
Página de fin:1128
DOI: http://dx.doi.org/10.1016/j.endm.2010.05.142
Título revista:Electronic Notes in Discrete Mathematics
Título revista abreviado:Electron. Notes Discrete Math.
ISSN:15710653
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v36_nC_p1121_Bonomo

Referencias:

  • Berge, C., Färbung von Graphen, deren sämtliche beziehungsweise, deren ungerade Kreise starr sind (Zusammenfassung) (1961) Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Naturwiss. Reihe, 10, pp. 114-115
  • Berge, C., Balanced matrices (1972) Math. Program., 2, pp. 19-31
  • Bonomo, F., Durán, G., Grippo, L.N., Safe, M.D., Partial characterizations of circular-arc graphs (2009) J. Graph Theory, 61, pp. 289-306
  • Bonomo, F., Durán, G., Lin, M.C., Szwarcfiter, J.L., On balanced graphs (2006) Math. Program., 105, pp. 233-250
  • Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K., On minimal forbidden subgraph characterizations of balanced graphs (2009) Electron. Notes Discrete Math., 35, pp. 41-46
  • Chudnovsky, M., Robertson, N., Seymour, P.D., Thomas, R., The strong perfect graph theorem (2006) Ann. Math., 164, pp. 51-229
  • Chvátal, V., On certain polytopes associated with graphs (1975) J. Combin. Theory Ser. B, 18, pp. 138-154
  • Dahlhaus, E., Manuel, P.D., Miller, M., Maximum h-colourable subgraph problem in balanced graphs (1998) Inform. Process. Lett., 65, pp. 301-303
  • Farber, M., Characterizations of strongly chordal graphs (1983) Discrete Math., 43, pp. 173-189
  • Fulkerson, D.R., Hoffman, A.J., Oppenheim, R., On balanced matrices (1974) Pivoting and Extensions: In honor of A.W. Tucker, Math. Program. Study 1, pp. 120-133. , North-Holland, Amsterdam, M. Balinski (Ed.)
  • Joeris, B.L., Lin, M.C., McConnell, R.M., Spinrad, J.P., Szwarcfiter, J.L., (2009), Linear-time recognition of Helly circular-arc models and graphs, Algorithmica, in press; Lehel, J., Tuza, Z., Neighborhood perfect graphs (1986) Discrete Math., 61, pp. 93-101
  • Prisner, E., Hereditary clique-Helly graphs (1993) J. Combin. Math. Combin. Comput., 14, pp. 216-220
  • Tucker, A., Coloring a family of circular arcs (1975) SIAM J. Appl. Math., 29, pp. 493-502

Citas:

---------- APA ----------
Bonomo, F., Durán, G., Safe, M.D. & Wagler, A.K. (2010) . Balancedness of some subclasses of circular-arc graphs. Electronic Notes in Discrete Mathematics, 36(C), 1121-1128.
http://dx.doi.org/10.1016/j.endm.2010.05.142
---------- CHICAGO ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K. "Balancedness of some subclasses of circular-arc graphs" . Electronic Notes in Discrete Mathematics 36, no. C (2010) : 1121-1128.
http://dx.doi.org/10.1016/j.endm.2010.05.142
---------- MLA ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K. "Balancedness of some subclasses of circular-arc graphs" . Electronic Notes in Discrete Mathematics, vol. 36, no. C, 2010, pp. 1121-1128.
http://dx.doi.org/10.1016/j.endm.2010.05.142
---------- VANCOUVER ----------
Bonomo, F., Durán, G., Safe, M.D., Wagler, A.K. Balancedness of some subclasses of circular-arc graphs. Electron. Notes Discrete Math. 2010;36(C):1121-1128.
http://dx.doi.org/10.1016/j.endm.2010.05.142