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» A Note on Cycle Lengths in Graphs
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CORR
2004
Springer
111views Education» more  CORR 2004»
15 years 3 months ago
Coloring Meyniel graphs in linear time
A Meyniel graph is a graph in which every odd cycle of length at least five has two chords. We present a linear-time algorithm that colors optimally the vertices of a Meyniel grap...
Benjamin Lévêque, Frédé...
COMPGEOM
2010
ACM
15 years 8 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
CORR
2010
Springer
108views Education» more  CORR 2010»
14 years 10 months ago
Finding Cycles and Trees in Sublinear Time
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least k 3 and tree-minors in bounded-degree graphs. The complexity of these algorithms is...
Artur Czumaj, Oded Goldreich, Dana Ron, C. Seshadh...
134
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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 3 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
ICALP
1994
Springer
15 years 7 months ago
Finding Even Cycles Even Faster
We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k 2, there is an O(V 2) time algorithm that decide...
Raphael Yuster, Uri Zwick