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Random walks and chemical graph theory
Douglas J Klein1, José Luis Palacios, Milan Randić
1Texas A&M University at Galveston, Galveston, Texas 77553, USA. kleind@tamug.edu
Abstract:
Simple random walks probabilistically grown step by step on a graph are distinguished from walk enumerations and associated equipoise random walks. Substructure characteristics and graph invariants correspondingly defined for the two types of random walks are then also distinct, though there often are analogous relations. It is noted that the connectivity index as well as some resistance-distance-related invariants make natural appearances among the invariants defined from the simple random walks.
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