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Creators/Authors contains: "Dalal, Aseem"

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  1. ; ; (, Discrete Mathematics)
    Free, publicly-accessible full text available February 1, 2027
  2. ; ; (, Journal of Graph Theory)
    ABSTRACT We prove that for any graph , the total chromatic number of is at most . This saves one color in comparison with the result of Hind from 1992. In particular, our result says that if , then has a total coloring using at most colors. When is regular and has a sufficient number of vertices, we can actually save an additional two colors. Specifically, we prove that for any , there exists such that: if is an ‐regular graph on vertices with , then . This confirms the Total Coloring Conjecture for such graphs . 
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    Free, publicly-accessible full text available November 1, 2026