More trees with equal broadcast and domination numbers

نویسندگان

  • S. Lunney
  • Christina M. Mynhardt
چکیده

A broadcast on a graph G is a function f : V (G) → {0, 1, . . . , diamG} such that f(v) ≤ e(v) (the eccentricity of v) for all v ∈ V (G). The broadcast number of a graph is the minimum value of ∑ v∈V (G) f(v) among all broadcasts f with the property that each vertex of G is within distance f(v) from a vertex v with f(v) > 0. We characterize a class of trees with equal broadcast and domination numbers.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2015