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CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 3 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
LICS
2007
IEEE
14 years 2 months ago
Locally Excluding a Minor
We introduce the concept of locally excluded minors. Graph classes locally excluding a minor are a common generalisation of the concept of excluded minor classes and of graph clas...
Anuj Dawar, Martin Grohe, Stephan Kreutzer
COCO
2007
Springer
114views Algorithms» more  COCO 2007»
14 years 2 months ago
Directed Planar Reachability is in Unambiguous Log-Space
We make progress in understanding the complexity of the graph reachability problem in the context of unambiguous logarithmic space computation; a restricted form of nondeterminism....
Chris Bourke, Raghunath Tewari, N. V. Vinodchandra...
FCT
2009
Springer
13 years 12 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner
JCT
2011
86views more  JCT 2011»
13 years 2 months ago
Circumference of 3-connected claw-free graphs and large Eulerian subgraphs of 3-edge-connected graphs
The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...
Mark Bilinski, Bill Jackson, Jie Ma, Xingxing Yu