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» On Central Spanning Trees of a Graph
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COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 5 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
ISAAC
1998
Springer
153views Algorithms» more  ISAAC 1998»
13 years 10 months ago
Approximation Algorithms for Some Optimum Communication Spanning Tree Problems
Let G = (V; E; w) be an undirected graph with nonnegative edge length function w and nonnegative vertex weight function r. The optimal product-requirement communication spanning t...
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
SODA
2004
ACM
156views Algorithms» more  SODA 2004»
13 years 7 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
WG
2004
Springer
13 years 11 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
13 years 12 months 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...