48 search results - page 1 / 10 » Short path queries in planar graphs in constant time |
STOC
2003
ACM
14 years 5 months ago
2003
ACM
ESA
2004
Springer
13 years 10 months ago
2004
Springer
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
We provide the first linear-space data structure with provable sublinear query time for exact point-topoint shortest path queries in planar graphs. We prove that for any planar gr...
CORR
1999
Springer
13 years 4 months ago
1999
Springer
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
FCT
1995
Springer
13 years 8 months ago
1995
Springer
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...