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STACS
2007
Springer
15 years 5 months ago
2007
Springer
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
COMPGEOM
2010
ACM
15 years 4 months ago
2010
ACM
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...
CORR
2010
Springer
14 years 6 months ago
2010
Springer
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...
COMBINATORICS
2004
14 years 11 months ago
2004
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...
ICALP
1994
Springer
15 years 3 months ago
1994
Springer
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...