A new approach to compute acyclic chromatic index of certain chemical structures

نویسندگان

  • D. Paul School of Advanced Sciences, VIT University, Chennai-600127, India
  • I. Rajasingh School of Advanced Sciences, VIT University, Chennai-600127, India
  • R. Rajan School of Advanced Sciences, VIT University, Chennai-600127, India
چکیده مقاله:

An acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The acyclic chromatic index of a graph $G$ denoted by $chi_a '(G)$ is the minimum number $k$ such that there is an acyclic edge coloring using $k$ colors. The maximum degree in $G$ denoted by $Delta(G)$, is the lower bound for $chi_a '(G)$. $P$-cuts introduced in this paper acts as a powerful tool to prove that this bound is sharp for certain chemical structures.

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a new approach to compute acyclic chromatic index of certain chemical structures

an acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. the acyclic chromatic index of a graph $g$ denoted by $chi_a '(g)$ is the minimum number $k$ such that there is an acyclic edge coloring using $k$ colors. the maximum degree in $g$ denoted by $delta(g)$, is the lower bound for $chi_a '(g)$. $p$-cuts introduced in this paper acts as a powerfu...

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عنوان ژورنال

دوره 6  شماره 1

صفحات  51- 61

تاریخ انتشار 2015-03-01

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