منابع مشابه
Edge-pancyclicity of coupled graphs
The coupled graph c(G) of a plane graph G is the graph de.ned on the vertex set V (G)∪F(G) so that two vertices in c(G) are joined by an edge if and only if they are adjacent or incident in G. We prove that the coupled graph of a 2-connected plane graph is edge-pancyclic. However, there exists a 2-edge-connected plane graph G such that c(G) is not Hamiltonian. ? 2002 Elsevier Science B.V. All r...
متن کاملNode-pancyclicity and edge-pancyclicity of hypercube variants
Twisted cubes, crossed cubes, Möbius cubes, and locally twisted cubes are some of the widely studied hypercube variants. The 4-pancyclicity of twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes and the 4-edgepancyclicity of crossed cubes are proven in [2, 1, 5, 10, 6] respectively. It should be noted that 4-edge-pancyclicity implies 4-node-pancyclicity which further implies 4-pan...
متن کاملEdge-pancyclicity of Möbius cubes
The Möbius cube Mn is a variant of the hypercube Qn and has better properties than Qn with the same number of links and processors. It has been shown by Fan [J. Fan, Hamilton-connectivity and cycle-embedding of Möbius cubes, Inform. Process. Lett. 82 (2002) 113–117] and Huang et al. [W.-T. Huang, W.-K. Chen, C.-H. Chen, Pancyclicity of Möbius cubes, in: Proc. 9th Internat. Conf. on Parallel and...
متن کاملWeakly Edge-Pancyclicity of Locally Twisted Cubes
The locally twisted cube LTQn is a newly introduced interconnection network for parallel computing. As a variant of the hypercube Qn, LTQn has better properties than Qn with the same number of links and processors. Yang, Megson and Evans [Locally twisted cubes are 4pancyclic, Applied Mathematics Letters, 17 (2004), 919-925] showed that LTQn contains a cycle of every length from 4 to 2 . In this...
متن کاملThe edge tenacity of a split graph
The edge tenacity Te(G) of a graph G is dened as:Te(G) = min {[|X|+τ(G-X)]/[ω(G-X)-1]|X ⊆ E(G) and ω(G-X) > 1} where the minimum is taken over every edge-cutset X that separates G into ω(G - X) components, and by τ(G - X) we denote the order of a largest component of G. The objective of this paper is to determine this quantity for split graphs. Let G = (Z; I; E) be a noncomplete connected split...
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ژورنال
عنوان ژورنال: International Journal of Computer Mathematics: Computer Systems Theory
سال: 2020
ISSN: 2379-9927,2379-9935
DOI: 10.1080/23799927.2020.1803972