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» The Alcuin Number of a Graph
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IPL
2006
98views more  IPL 2006»
15 years 6 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
TIT
2008
106views more  TIT 2008»
15 years 6 months ago
Some Results on FCSR Automata With Applications to the Security of FCSR-Based Pseudorandom Generators
This article describes new theoretical results concerning the general behavior of a Feedback with Carry Shift Register (FCSR) automaton. They help to better understand how the init...
François Arnault, Thierry P. Berger, Marine...
JGT
2007
54views more  JGT 2007»
15 years 6 months ago
Overlap in consistent cycles
: A (directed) cycle C in a graph is called consistent provided there exists an automorphism of , acting as a 1-step rotation of C. A beautiful but not well-known result of J.H. Co...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
165
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DM
2010
103views more  DM 2010»
15 years 7 months ago
Rainbow paths
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-colori...
Domingos Dellamonica Jr., Colton Magnant, Daniel M...
207
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JCT
2007
119views more  JCT 2007»
15 years 6 months ago
Cliques and the spectral radius
We prove a number of relations between the number of cliques of a graph G and the largest eigenvalue (G) of its adjacency matrix. In particular, writing ks (G) for the number of s...
Béla Bollobás, Vladimir Nikiforov