Some sufficient spectral conditions on Hamilton-connected and traceable graphs |
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| Authors: | Qiannan Zhou |
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| Institution: | Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an, P.R. China. |
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| Abstract: | In this paper, we establish some sufficient conditions for a graph to be Hamilton-connected in terms of the edge number, the spectral radius and the signless Laplacian spectral radius of the graph. Furthermore, we also give some sufficient conditions for a graph to be traceable from every vertex in terms of the edge number, the spectral radius and the signless Laplacian spectral radius. |
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| Keywords: | Hamilton-connected traceable from every vertex spectral radius signless Laplacian spectral radius |
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