Co-2-plex polynomials

Benjamin McClosky (), Anthony Simms () and Illya V. Hicks ()
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Benjamin McClosky: Nature Source Genetics
Anthony Simms: University of Maryland, Baltimore County
Illya V. Hicks: Rice University

Journal of Combinatorial Optimization, 2011, vol. 22, issue 4, No 12, 640-650

Abstract: Abstract This paper offers a generalization of the independence polynomial, the co-k-plex polynomial. The resulting family of polynomials carries combinatorial information on a class of independence systems defined over the vertex set of a finite graph. Specifically, we offer a recursion formula and examples of the co-2-plex polynomial on certain graphs. In addition, we characterize the class of graphs whose co-2-plex polynomial will have all real roots.

Keywords: Co-2-plex; Independence polynomial; Independence systems (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10878-010-9313-y

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