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NETWORKS
2010
13 years 6 months ago
Complexity of some inverse shortest path lengths problems
The input to an Inverse Shortest Path Lengths Problem (ISPL) consists of a graph G with arc weights, and a collection of source-sink pairs with prescribed distances that do not ne...
Tingting Cui, Dorit S. Hochbaum
IJCGA
2010
78views more  IJCGA 2010»
13 years 5 months ago
Operations Preserving Global Rigidity of Generic Direction-Length Frameworks
A two-dimensional direction-length framework is a pair (G, p), where G = (V ; D, L) is a graph whose edges are labeled as `direction' or `length' edges, and a map p from...
Bill Jackson, Tibor Jordán
COCOON
2003
Springer
14 years 1 months ago
Fault-Hamiltonicity of Product Graph of Path and Cycle
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
Jung-Heum Park, Hee-Chul Kim
GC
2008
Springer
13 years 7 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
ALGORITHMICA
2011
13 years 2 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick