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|Title:||On zero-free intervals in (1, 2) of chromatic polynomials of some families of graphs|
|Citation:||Dong, F.M., Koh, K.M. (2010). On zero-free intervals in (1, 2) of chromatic polynomials of some families of graphs. SIAM Journal on Discrete Mathematics 24 (2) : 370-378. ScholarBank@NUS Repository. https://doi.org/10.1137/070698294|
|Abstract:||For a family S of graphs, let ω(S) be the supremum of t :1 < t ≤ 2 such that P(G, λ) ≠ 0 for all G εS and all λ ε (1,t). In this paper we show that ω(S) = ω(S ∩ κ) for any family S of graphs satisfying certain conditions, where κ is a special family of graphs. This result makes it much easier to determine ω(S) for such families S. © 2010 Society for Industrial and Applied Mathematics.|
|Source Title:||SIAM Journal on Discrete Mathematics|
|Appears in Collections:||Staff Publications|
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