The transformation graph G++-
نویسندگان
چکیده
The transformation graph G++− of G is the graph with vertex set V (G)∪ E(G) in which the vertices u and v are joined by an edge if one of the following conditions holds: (i) u, v ∈ V (G) and they are adjacent in G, (ii) u, v ∈ E(G) and they are adjacent in G, (iii) one of u and v is in V (G) while the other is in E(G), and they are not incident in G. In this paper, for a graph G, we determine the independence number of G++− and give a lower bound for the connectivity of G++−. Furthermore, we provide some simple sufficient conditions for G++− to be hamiltonian.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 44 شماره
صفحات -
تاریخ انتشار 2009