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SODA
2004
ACM
93views Algorithms» more  SODA 2004»
13 years 8 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
13 years 2 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
14 years 17 days 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
13 years 5 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»
13 years 7 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