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math.CO2016
Note on von Neumann and Rényi entropies of a Graph
Michael Dairyko, Leslie Hogben, Jephian C. -H. Lin +4
We conjecture that all connected graphs of order have von Neumann entropy at least as great as the star and prove this for almost all graphs of order . We show t…
math.CO2016
Multi-part Nordhaus-Gaddum type problems for tree-width, Colin de Verdière type parameters, and Hadwiger number
Leslie Hogben, Jephian C. -H. Lin, Michael Young
A traditional Nordhaus-Gaddum problem for a graph parameter is to find a (tight) upper or lower bound on the sum or product of and (where denotes…
math.CO2016
Using a new zero forcing process to guarantee the Strong Arnold Property
Jephian C. -H. Lin
The maximum nullity and the Colin de Verdière type parameter both consider the largest possible nullity over matrices in , which is the family of real…