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Title:The obnoxious center problem on weighted cactus graphs
Authors:ID Zmazek, Blaž (Author)
ID Žerovnik, Janez (Author)
Files:URL http://dx.doi.org/10.1016/S1571-0653(05)80099-X
 
Language:English
Work type:Article
Typology:1.12 - Published Scientific Conference Contribution Abstract
Organization:PEF - Faculty of Education
Abstract:The obnoxious center problem in a graph ▫$G$▫ asks for a location on an edge of the graph such that the minimum weighted distance from this point to a vertex of the graph is as large as possible. An algorithm is given which finds the obnoxious center on a weighted cactus graph in ▫$O(cn)$▫ time, where ▫$n$▫ is the number of vertices and ▫$c$▫ is the number of different vertex weights (called marks).
Keywords:matematika, operacijsko raziskovanje, teorija grafov, lokacijski problemi, problem centra, nezaželjeni centri, algoritmi z linearno časovno zahtevnostjo, mathematics, operations research, graph theory, location problems, center problem, obnoxious facilities, linear time algorithm
Year of publishing:2001
Number of pages:str. 133-136
Numbering:Vol. 8
PID:20.500.12556/DKUM-51507 New window
UDC:519.86:519.17
ISSN on article:1571-0653
COBISS.SI-ID:13824345 New window
NUK URN:URN:SI:UM:DK:BSM23PYM
Publication date in DKUM:10.07.2015
Views:1502
Downloads:107
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Electronic notes in discrete mathematics
Publisher:Elsevier
ISSN:1571-0653
COBISS.SI-ID:13803097 New window

Secondary language

Language:Unknown
Title:Problem nezaželenega centra na obteženih kaktus grafih
Abstract:Problem nezaželenih centrov v grafu predstavlja določitev takšne lokacije na povezavah grafa, da je njena minimalna razdalja do poljubne točke grafa kolikor se da velika. Uteži na točkah grafa lahko predstavljajo njihovo občutljivost, ki jo je moč oceniti z eno izmed konstantno mnogo vrednosti. Kadar je vsaki točki grafa prirejena ena izmed ▫$c$▫ različnih vrednosti (uteži) glede na njeno občutljivost, rešujemo tako imenovan problem nezaželenih centrov na grafu z ovrednotenimi točkami. V tem članku bomo predstavili algoritem, ki določi nezaželeni center na kaktusu z ovrednotenimi točkami v linearnem času ▫$O(cn)$▫, kjer je ▫$n$▫ število točk in ▫$c$▫ število uteži. The obnoxious center problem in a graph ▫$G$▫ asks for a location on an edge of the graph such that the minimum weighted distance from this point to a vertex of the graph is as large as possible. An algorithm is given which finds the obnoxious center on a weighted cactus graph in ▫$O(cn)$▫ time, where ▫$n$▫ is the number of vertices and ▫$c$▫ is the number of different vertex weights (called marks).


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