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The Power of Small Coalitions in Graphs (1995)  (Make Corrections)  (9 citations)
J-C. Bermond D. Peleg I3S CNRS, Universite de Nice-Sophia Antipolis, Bat...



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Abstract: This paper considers the question of the influence of a coalition of vertices, seeking to gain control (or majority) in local neighborhoods in a general graph. Say that a vertex v is controlled by the coalition M if the majority of its neighbors are from M . We ask how many vertices (as a function of jM j) can M control in this fashion. Upper and lower bounds are provided for this problem, as well as for cases where the majority is computed over larger neighborhoods (either neighborhoods ... (Update)

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BibTeX entry:   (Update)

J-C. Bermond and D. Peleg. The Power of Small Coalitions in Graphs. Proc. 2nd Colloq. on Structural Information & Communication Complexity, Olympia, Greece, June 1995, Carleton Univ. Press, 173--184. http://citeseer.ist.psu.edu/bermond95power.html   More

@techreport{ peleg95power,
    author = "D. Peleg",
    title = "The Power of Small Coalitions in Graphs",
    number = "CS95-12",
    month = "1,",
    year = "1995",
    url = "citeseer.ist.psu.edu/bermond95power.html" }
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625   ACM Transactions on Programming Languages and Systems (context) - Lamport, Shostak et al. - 1982
291   Weighted voting for replicated data - Gifford - 1979
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19   Fault tolerance in networks of bounded degree (context) - Dwork, Peleg et al. - 1988
16   On periodical behaviour in societies with symmetric influenc.. (context) - Poljak, Sura - 1983
14   Sphere packing and local majorities in graphs (context) - Linial, Peleg et al. - 1993
10   majority vote action on 0-1 sequences (context) - Moran - 1994
10   the period-two-property of the majority operator in infinite.. (context) - Moran - 1994
9   expected rounds randomized Byzantine generals algorithm (context) - Bracha, log - 1987
9   Parametrization for stationary patterns of the r-majority op.. (context) - Moran - 1994
9   Tight bounds on the size of 2-monopolies - Bermond, Bond et al. - 1995
8   Tight fault-locality - Kutten, Peleg - 1995
6   Technical Report UMIACS-TR (context) - Jalote, Rangarajan et al. - 1991
5   an application of convexity to discrete systems (context) - Poljak, Turzik - 1986
4   Periodic behaviour of generalized threshold functions (context) - Goles, Olivos - 1980
4   The complexity of system-level fault diagnosis and diagnosab.. (context) - Sullivan - 1986



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