Template-Type: ReDIF-Paper 1.0 Author-Name: Balakrishnan, K. Author-Name-Last: Balakrishnan Author-Name-First: Kannan Author-Name: Changat, M. Author-Name-Last: Changat Author-Name-First: Manoj Author-Name: Mulder, H.M. Author-Name-Last: Mulder Author-Name-First: Martyn Title: The plurality strategy on graphs Abstract: The Majority Strategy for finding medians of a set of clients on a graph can be relaxed in the following way: if we are at v, then we move to a neighbor w if there are at least as many clients closer to w than to v (thus ignoring the clients at equal distance from v and w). The graphs on which this Plurality Strategy always finds the set of all medians are precisely those for which the set of medians induces always a connected subgraph. Creation-Date: 2006-09-15 File-URL: https://repub.eur.nl/pub/7976/ei2006-35.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2006-35 Keywords: consensus function, majority rule, median, median graph, plurality strategy Handle: RePEc:ems:eureir:7976