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Article
On Traceable Line Graphs
Let G be a simple graph of order n and D 1(G) be the set of vertices of degree 1 in G. In this paper, we prove that if G − D 1(G) is 2-edge-connected and if for every edge ...
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Article
On Hamiltonicity of 3-Connected Claw-Free Graphs
Lai, Shao and Zhan (J Graph Theory 48:142–146, 2005) showed that every 3-connected N 2-locally connected claw-free graph is Hamiltonian. In this paper, we generalize this result and show that ever...
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Article
Spanning Eulerian Subgraphs of 2-Edge-Connected Graphs
For integers l and k with l > 0 and k > 0, let \({{\fancyscript{C}}(l, k)}\) denote the family of 2-edge-connected gr...