Disjoint triangles and quadrilaterals in a graph

• Autorzy: Hong Wang
• Języki publikacji: EN

Abstrakty

EN

Let n, s and t be three integers with s ≥ 1, t ≥ 0 and n = 3s + 4t. Let G be a graph of order n such that the minimum degree of G is at least (n + s)/2. Then G contains a 2-factor with s + t components such that s of them are triangles and t of them are quadrilaterals.

Słowa kluczowe

EN

cover; cycle; factor

Kategorie tematyczne

• 05C70: Factorization, matching, partitioning, covering and packing
• 05C38: Paths and cycles

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 543-558

Daty

wydano

2008-12-01

online

2008-10-08

Twórcy

autor

Hong Wang

• The University of Idaho

Bibliografia

• [1] Bollobás B., Extremal graph theory, Academic Press, London-New York, 1978
• [2] Corrádi K., Hajnal A., On the maximal number of independent circuits in a graph, Acta Math. Acad. Sci. Hungar., 1963, 14, 423–439 http://dx.doi.org/10.1007/BF01895727
• [3] El-Zahar M.H., On circuits in graphs, Discrete Math., 1984, 50, 227–230 http://dx.doi.org/10.1016/0012-365X(84)90050-5
• [4] Enomoto H., On the existence of disjoint cycles in a graph, Combinatorica, 1998, 18, 487–492 http://dx.doi.org/10.1007/s004930050034
• [5] Erdős P., Some recent combinatroial problems, Technical Report, University of Bielefeld, November 1990
• [6] Randerath B., Schiermeyer I., Wang H., On quadrilaterals in a graph, Discrete Math., 1999, 203, 229–237. http://dx.doi.org/10.1016/S0012-365X(99)00053-9
• [7] Wang H., On the maximum number of independent cycles in a graph, Discrete Math., 1990, 205, 183–190 http://dx.doi.org/10.1016/S0012-365X(99)00009-6
• [8] Wang H., Vertex-disjoint quadrilaterals in graphs, Discrete Math., 2004, 288, 149–166 http://dx.doi.org/10.1016/j.disc.2004.02.020
• [9] Wnag H., Proof of the Erdős-Faudree Conjecture on Quadrilaterals, preprint

Identyfikatory

DOI

10.2478/s11533-008-0048-2