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math.CO2009
Properties of -super positive graphs
Cheng Yeaw Ku, Kok Bin Wong
Let the matching polynomial of a graph be denoted by . A graph is said to be -super positive if and for all . In…
math.CO2009★ 3 cited
Generalized -graphs for Nonzero Roots of the Matching Polynomial
Cheng Yeaw Ku, Kok Bin Wong
Recently, Bauer et al. (J Graph Theory 55(4) (2007), 343--358) introduced a graph operator , called the -graph of , which has been useful in investigating the structura…
math.CO2009
Extensions of Barrier Sets to Nonzero Roots of the Matching Polynomials
Cheng Yeaw Ku, Kok Bin Wong
In matching theory, barrier sets (also known as Tutte sets) have been studied extensively due to its connection to maximum matchings in a graph. In this paper, we first define -…