Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6871502 | Discrete Applied Mathematics | 2018 | 12 Pages |
Abstract
A graph G is said to be k-distinguishable if every vertex of the graph can be colored from a set of k colors such that no non-trivial automorphism fixes every color class. The distinguishing number D(G) is the least integer k for which G is k-distinguishable. If for each vâV(G) we have a list L(v) of colors, and we stipulate that the color assigned to vertex v comes from its list L(v) then G is said to be L-distinguishable where L={L(v)}vâV(G). The list distinguishing number of a graph, denoted Dl(G), is the minimum integer k such that every collection of lists L with |L(v)|=k admits an L-distinguishing coloring. In this paper, we prove that Dl(G)=D(G) when G is a Kneser graph.
Keywords
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Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Niranjan Balachandran, Sajith Padinhatteeri,