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<図書>
Extremal paths in graphs : foundations, search strategies, and related topics

責任表示 Ulrich Huckenbeck
シリーズ Mathematical topics ; v. 10
データ種別 図書
1st ed
出版情報 Berlin : Akademie Verlag , c1997
本文言語 英語
大きさ 480 p. ; 25 cm
概要 This book examines the central problem of searching for optimal paths in graphs--the search for the shortest connection from one place to another one in a city, for example. It investigates generalize... versions of the Dijkstra algorithm & the Ford-Bellman algorithm. These generalized search strategies find paths with minimum or almost minimum costs even if the cost function is not computed by adding costs of the edges of a path. The book describes many types of optimal path problems including the search for optimal paths in random graphs or NP-complete optimal path problems like the Traveling Salesman Problem. It also studies structural properties of cost measures for paths in graphs; in particular, generalized versions of additivity, Bellman properties, & order preservation of cost functions. 続きを見る

所蔵情報



中央図 自動書庫 415.7/H 98/1 1997
017211997014932


理系図3F 数理独自 HUCK/10/1 1997
023211997007481

書誌詳細

一般注記 Includes bibliography (p. [447]-474) and index
著者標目 *Huckenbeck, Ulrich
件 名 LCSH:Paths and cycles (Graph theory)
LCSH:Combinatorial optimization
書誌ID 1000296814
ISBN 3055016580
NCID BA31170020
巻冊次 ISBN:3055016580
登録日 2009.09.11
更新日 2009.11.02

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