Characterization of graphs with Hall index 2
نویسنده
چکیده
A proper edge coloring of a simple graph G from some lists assigned to the edges of G is of interest. A. Hilton and P. Johnson (1990) considered a necessary condition for the list coloring of a graph and called it Hall's condition. They introduced the Hall index of a graph G, h'(G), as the smallest positive integer m such that there exists a list coloring whenever the lists are of length at least m and Hall's condition is satisfied. They characterized all graphs G with h' (G) = 1. In this paper we characterize the graphs with Hall index 2.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 21 شماره
صفحات -
تاریخ انتشار 2000