ON THE ADJACENT STRONG EDGE COLORING OF $P_n \vee P_n$ $P_n\vee C_n$ AND $C_n\vee C_n$
نویسندگان
چکیده
منابع مشابه
The crossing numbers of $K_m\times P_n$ and $K_m\times C_n$
The crossing number of a graph G is the minimum number of pairwise intersections of edges in a drawing of G. In this paper, we study the crossing numbers of Km ×Pn and Km × Cn.
متن کاملFrom Edge-Coloring to Strong Edge-Coloring
In this paper we study a generalization of both proper edge-coloring and strong edge-coloring: k-intersection edge-coloring, introduced by Muthu, Narayanan and Subramanian [18]. In this coloring, the set S(v) of colors used by edges incident to a vertex v does not intersect S(u) on more than k colors when u and v are adjacent. We provide some sharp upper and lower bounds for χk-int for several ...
متن کاملAdjacent vertex-distinguishing edge coloring of graphs
An adjacent vertex-distinguishing edge coloring, or avd-coloring, of a graph G is a proper edge coloring of G such that no pair of adjacent vertices meets the same set of colors. Let mad(G) and ∆(G) denote the maximum average degree and the maximum degree of a graph G, respectively. In this paper, we prove that every graph G with ∆(G) ≥ 5 and mad(G) < 3− 2 ∆ can be avd-colored with ∆(G) + 1 col...
متن کاملPerfection for strong edge-coloring on graphs
A strong edge-coloring of a graph is a function that assigns to each edge a color such that every two distinct edges that are adjacent or adjacent to a same edge receive different colors. The strong chromatic index χs(G) of a graph G is the minimum number of colors used in a strong edge-coloring of G. From a primal-dual point of view, there are three natural lower bounds of χs(G), that is σ(G) ...
متن کاملOn the computational complexity of strong edge coloring
In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In this paper, we will prove that this problem is NP-complete even in a very restricted setting. Also, a closely related problem, namely the maximum antimatching problem, is studied, and some NP-completeness results and a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2014
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v92i1.8