On -bounded families of graphs.

Gyárfás, András; Zaker, Manouchehr

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Nullity of Graphs

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Ivan Gutman, Yeong Nan Yeh (1995)

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The number of labelled $k$ -arch graphs.

Lamathe, Cédric (2004)

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L(2, 1)-Labelings of Some Families of Oriented Planar Graphs

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In this paper we determine, or give lower and upper bounds on, the 2-dipath and oriented L(2, 1)-span of the family of planar graphs, planar graphs with girth 5, 11, 16, partial k-trees, outerplanar graphs and cacti.

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On Graphs with Disjoint Dominating and 2-Dominating Sets

Michael A. Henning, Douglas F. Rall (2013)

Discussiones Mathematicae Graph Theory

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A DD2-pair of a graph G is a pair (D,D2) of disjoint sets of vertices of G such that D is a dominating set and D2 is a 2-dominating set of G. Although there are infinitely many graphs that do not contain a DD2-pair, we show that every graph with minimum degree at least two has a DD2-pair. We provide a constructive characterization of trees that have a DD2-pair and show that K3,3 is the only connected graph with minimum degree at least three for which D ∪ D2 necessarily contains all vertices...

Displaying similar documents to “On ( δ , χ ) -bounded families of graphs.”

Displaying similar documents to “On $(δ, χ)$ -bounded families of graphs.”