A Note On Graphs Representable As Product Graphs
Zlatomir Lukić (1982)
Publications de l'Institut Mathématique
Similarity:
Zlatomir Lukić (1982)
Publications de l'Institut Mathématique
Similarity:
Pranava K. Jha, Sandi Klavžar, Blaž Zmazek (1997)
Discussiones Mathematicae Graph Theory
Similarity:
Weichsel (Proc. Amer. Math. Soc. 13 (1962) 47-52) proved that the Kronecker product of two connected bipartite graphs consists of two connected components. A condition on the factor graphs is presented which ensures that such components are isomorphic. It is demonstrated that several familiar and easily constructible graphs are amenable to that condition. A partial converse is proved for the above condition and it is conjectured that the converse is true in general.
Amanda Niedzialomski (2016)
Discussiones Mathematicae Graph Theory
Similarity:
For k ∈ ℤ+ and G a simple, connected graph, a k-radio labeling f : V (G) → ℤ+ of G requires all pairs of distinct vertices u and v to satisfy |f(u) − f(v)| ≥ k + 1 − d(u, v). We consider k-radio labelings of G when k = diam(G). In this setting, f is injective; if f is also surjective onto {1, 2, . . . , |V (G)|}, then f is a consecutive radio labeling. Graphs that can be labeled with such a labeling are called radio graceful. In this paper, we give two results on the existence of radio...
Simić, Slobodan K. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Abdollahi, A., Vatandoost, E. (2011)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Ying Liu (2013)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
Let G be a graph with n vertices and ν(G) be the matching number of G. The inertia of a graph G, In(G) = (n₊,n₋,n₀) is an integer triple specifying the numbers of positive, negative and zero eigenvalues of the adjacency matrix A(G), respectively. Let η(G) = n₀ denote the nullity of G (the multiplicity of the eigenvalue zero of G). It is well known that if G is a tree, then η(G) = n - 2ν(G). Guo et al. [Ji-Ming Guo, Weigen Yan and Yeong-Nan Yeh. On the nullity and the matching number...
D. Cvetković (2005)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Similarity:
Sandi Klavžar, Matjaz Kovse (2007)
Discussiones Mathematicae Graph Theory
Similarity:
The Θ-graph Θ(G) of a partial cube G is the intersection graph of the equivalence classes of the Djoković-Winkler relation. Θ-graphs that are 2-connected, trees, or complete graphs are characterized. In particular, Θ(G) is complete if and only if G can be obtained from K₁ by a sequence of (newly introduced) dense expansions. Θ-graphs are also compared with familiar concepts of crossing graphs and τ-graphs.
Bojan Mohar, Svatopluk Poljak (1990)
Czechoslovak Mathematical Journal
Similarity:
Akiyama, Jin, Harary, Frank (1979)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Petrović, Miroslav M. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
X. Shen, Y. Hou, I. Gutman, X. Hui (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Similarity: