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» Integer Functions on the Cycle Space and Edges of a Graph
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GC
2010
Springer
13 years 3 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
JGT
2008
150views more  JGT 2008»
13 years 4 months ago
Cycle spaces in topological spaces
: We develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to sho...
Antoine Vella, R. Bruce Richter
STACS
2007
Springer
13 years 11 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
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 ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...

Book
1197views
15 years 2 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty
JGT
2008
105views more  JGT 2008»
13 years 4 months ago
The bond and cycle spaces of an infinite graph
Bonnington and Richter defined the cycle space of an infinite graph to consist of the sets of edges of subgraphs having even degree at every vertex. Diestel and K
Karel Casteels, R. Bruce Richter