H
Hong-Jian Lai
Researcher at West Virginia University
Publications - 304
Citations - 2922
Hong-Jian Lai is an academic researcher from West Virginia University. The author has contributed to research in topics: Line graph & Bound graph. The author has an hindex of 25, co-authored 274 publications receiving 2516 citations. Previous affiliations of Hong-Jian Lai include University of West Virginia & Wayne State University.
Papers
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3-dynamic coloring and list 3-dynamic coloring of K1,3-free graphs
Hao Li,Hong-Jian Lai +1 more
TL;DR: It is shown that if G is K1,3-free, then L,3(G)max{L(G)+3,7} and 3(G]max{ (G)+ 3,7}.
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Hamilton-connected indices of graphs
TL;DR: It is proved that hc(G)@?|V(G)|[email protected](G)+1 is the least integer m such that L^m (G) is 3-connected and these bounds are all sharp.
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Reinforcing a Matroid to Have k Disjoint Bases
TL;DR: In this paper, the authors consider matroids with, and determine the minimum of, where is a matroid that contains as a restriction with both and. This minimum is expressed as a function of certain invariants of, as well as a min-max formula.
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Generalized cospectral graphs with and without Hamiltonian cycles
TL;DR: In this article, the authors generalize the notion of cospectrally-rooted to k-cospectral and obtain equivalent statements for k-generalized cospectral graphs.
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Spectral results on Hamiltonian problem
TL;DR: The concept of Hamiltonian, traceable, and Hamilton-connected to s -suitable graphs is generalized and improved, and a lower bound for e ( G ) is presented to confirm the existence of s -Suitable graphs.