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CPAIOR
2007
Springer
15 years 6 months ago
Necessary Condition for Path Partitioning Constraints
Given a directed graph G, the K node-disjoint paths problem consists in finding a partition of G into K node-disjoint paths, such that each path ends up in a given subset of nodes...
Nicolas Beldiceanu, Xavier Lorca
PVLDB
2010
146views more  PVLDB 2010»
14 years 10 months ago
Graph Indexing of Road Networks for Shortest Path Queries with Label Restrictions
The current widespread use of location-based services and GPS technologies has revived interest in very fast and scalable shortest path queries. We introduce a new shortest path q...
Michael Rice, Vassilis J. Tsotras
DM
2007
135views more  DM 2007»
14 years 11 months ago
Heavy fans, cycles and paths in weighted graphs of large connectivity
A set of paths joining a vertex y and a vertex set L is called (y, L)-fan if any two of the paths have only y in common, and its width is the number of paths forming it. In weight...
Jun Fujisawa
DAM
1998
75views more  DAM 1998»
14 years 11 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
ESA
2004
Springer
95views Algorithms» more  ESA 2004»
15 years 5 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick