Entropy of Random Walk Range on Uniformly Transient and on Uniformly Recurrent Graphs
نویسندگان
چکیده
منابع مشابه
On uniformly balanced graphs
Let G = (V, E) be a simple graph. A vertex labeling f : V → {0, 1} induces a partial edge labeling f ∗ : E → {0, 1} defined by f ∗(uv) = f(u) 84 KWONG, LEE, LO, SU AND WANG if and only if f(u) = f(v). For i = 0, 1, let vf(i) = |{v ∈ V : f(v) = i}|, and ef (i) = |{e ∈ E : f ∗(e) = i}|. A graph G is uniformly balanced if |ef (0)−ef (1)| ≤ 1 for any vertex labeling f that satisfies |vf(0)−vf (1)| ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2010
ISSN: 1083-6489
DOI: 10.1214/ejp.v15-787