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SODA
2004
ACM
93views Algorithms» more  SODA 2004»
14 years 11 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
TCS
2010
14 years 4 months ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal
COCOON
2003
Springer
15 years 2 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
COCOA
2010
Springer
14 years 7 months ago
Listing Triconnected Rooted Plane Graphs
A plane graph is a drawing of a planar graph in the plane such that no two edges cross each other. A rooted plane graph has a designated outer vertex. For given positive integers ...
Bingbing Zhuang, Hiroshi Nagamochi
SIAMCO
2008
81views more  SIAMCO 2008»
14 years 9 months ago
Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach
This paper presents new graph-theoretic results appropriate to the analysis of a variety of consensus problems cast in dynamically changing environments. The concepts of rooted, s...
Ming Cao, A. Stephen Morse, Brian D. O. Anderson