In this paper, we present the study of the interlace polynomials for n-claw graphs. For a positive integer n > 1, an n-claw graph Wn is a tree that has one center vertex and n claws. The center vertex is connected to one vertex of each of the n claws using one edge of the claw. We present iterative formulas and explicit formulas for the interlace polynomial of W n. Furthermore, some interesting properties of the polynomial are discussed.
|Number of pages||12|
|Journal||Journal of Combinatorial Mathematics and Combinatorial Computing|
|State||Published - Feb 2014|