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» On the Queue Number of Planar Graphs
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COCO
2009
Springer
105views Algorithms» more  COCO 2009»
15 years 4 months ago
Planar Graph Isomorphism is in Log-Space
Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. There is a significant ...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar, Th...
MFCS
2007
Springer
15 years 3 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda
ARSCOM
2002
53views more  ARSCOM 2002»
14 years 9 months ago
Embedding Graphs Containing K5-Subdivisions
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-subdivision into a K3,3-subdivision if it is possible, or else we obtain a partit...
Andrei V. Gagarin, William Kocay
CORR
2008
Springer
72views Education» more  CORR 2008»
14 years 9 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
FOCS
2004
IEEE
15 years 1 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd