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WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
14 years 11 days ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
EUROPAR
2004
Springer
13 years 11 months ago
A Coarse-Grained Parallel Algorithm for Spanning Tree and Connected Components
Computing a spanning tree and the connected components of a graph are basic problems in Graph Theory and arise as subproblems in many applications. Dehne et al. present a BSP/CGM a...
Edson Norberto Cáceres, Frank K. H. A. Dehn...
COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 6 months ago
On Infinite Cycles I
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
Reinhard Diestel, Daniela Kühn
RSA
2011
126views more  RSA 2011»
13 years 1 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
13 years 6 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...