### A Short Proof of a Theorem Concerning Degree Sums and Connectivity on Hamiltonian Graphs

Bing Wei
<span title="">1999</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g6u5fful5vcr3a7gppc6y47el4" style="color: black;">Journal of combinatorial theory. Series B (Print)</a> </i> &nbsp;
proved that if G is a 2-connected graph with n vertices such that d(u)+d(v)+d(w) n+} holds for any triple of independent vertices u, v, and w, then G is hamiltonian, where } is the vertex connectivity of G. In this note, we will give a short proof of the above result. Academic Press
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jctb.1998.1867">doi:10.1006/jctb.1998.1867</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6473xlvr5jfbhje7tvz34hw6dm">fatcat:6473xlvr5jfbhje7tvz34hw6dm</a> </span>
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