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Initial point search on weighted trees
Author(s) -
Kikuta Kensaku,
Ruckle William H.
Publication year - 1994
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199410)41:6<821::aid-nav3220410610>3.0.co;2-y
Subject(s) - vertex (graph theory) , game tree , mathematics , graph , bidirectional search , search tree , combinatorics , mathematical optimization , computer science , game theory , search algorithm , sequential game , mathematical economics , beam search , best first search
An initial point search game on a weighted graph involves a searcher who wants to minimize search and travel costs seeking a hider who wants to maximize these costs. The searcher starts from a specified vertex 0 and searches each vertex in some order. The hider chooses a nonzero vertex and remains there. We solve the game in which the graph is a simple tree, and use this solution to solve a search game on a tree in which each branch is itself a weighted graph with a certain property, and the searcher is obliged to search the entire branch before departing. © 1994 John Wiley & Sons, Inc.

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