Robert C. Powers

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15ranked-venue papers
4as first author
1since 2021 · last 2024
—ORCID · none

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Theory of computation · 15 · 4 first-author · 1 since 2021
YearPublicationVenuePosition
2024 The weight balance function on trees
Fred R. McMorris, Henry Martyn Mulder, Robert C. Powers
Discret. Appl. Math.3
2020 The target location function on finite trees
Trevor Leach, Fred R. McMorris, Henry Martyn Mulder, Robert C. Powers
Discret. Appl. Math.4
2018 Axiomatic characterization of the center function. The case of non-universal axioms
Manoj Changat, Shilpa Mohandas, Henry Martyn Mulder, Prasanth G. Narasimha-Shenoi, Robert C. Powers, D. Jacob Wildstrom
Discret. Appl. Math.5
2017 Axiomatic characterization of the center function. The case of universal axioms
Manoj Changat, Shilpa Mohandas, Henry Martyn Mulder, Prasanth G. Narasimha-Shenoi, Robert C. Powers, D. Jacob Wildstrom
Discret. Appl. Math.5
2016 An ABC-Problem for location and consensus functions on graphs
Fred R. McMorris, Henry Martyn Mulder, Beth Novick, Robert C. Powers
Discret. Appl. Math.4
2013 Injectivity and weak ternary separation
Robert C. Powers, Jeremy M. White
Discret. Appl. Math.1
2011 An axiomatic study of Majority-rule (+ ) and associated consensus functions on hierarchies
Jianrong Dong, David Fernández-Baca, Fred R. McMorris, Robert C. Powers
Discret. Appl. Math.4
2008 Wilson's theorem for consensus functions on hierarchies
Robert C. Powers, Jeremy M. White
Discret. Appl. Math.1
2006 The t-median function on graphs
Fred R. McMorris, Henry Martyn Mulder, Robert C. Powers
Discret. Appl. Math.3
2003 The Median Function on Distributive Semilattices
Fred R. McMorris, Henry Martyn Mulder, Robert C. Powers
Discret. Appl. Math.3
2003 Medians and Majorities in Semimodular Posets
Robert C. Powers
Discret. Appl. Math.1
2000 The median function on median graphs and semilattices
Fred R. McMorris, Henry Martyn Mulder, Robert C. Powers
Discret. Appl. Math.3
1996 Arrow's Theorem for Closed Weak Hierarchies
Robert C. Powers
Discret. Appl. Math.1
1995 The Median Procedure in a Formal Theory of Consensus
abstract
A consensus rule on a finite set X is a function c from the set of k-tuples for all $K > 0$ into the set of nonempty subsets of X. Elements in the image of c represent a consensus, or agreement, of the input. Axioms for consensus rules are presented, and when X is partially ordered, some consequences of these axioms are determined. A generalization of the median consensus rule is given when X is a distributive semilattice and is based on a weighting of the least move metric on the covering graph of X. It is characterized under the assumption that every join irreducible of X is an atom.
Fred R. McMorris, Robert C. Powers
SIAM J. Discret. Math.2
1993 Consensus Functions on Trees that Satisfy Independence Axiom
Fred R. McMorris, Robert C. Powers
Discret. Appl. Math.2