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TCS
2008
13 years 8 months ago
On the structure of graphs in the Caucal hierarchy
We investigate the structure of graphs in the Caucal hierarchy. We provide criteria concerning the degree of vertices or the length of paths which can be used to show that a given ...
Achim Blumensath
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 8 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
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 ...
David Eppstein
DAM
2008
83views more  DAM 2008»
13 years 8 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
TCS
2002
13 years 8 months ago
Streams and strings in formal proofs
Streams are acyclic directed subgraphs of the logical ow graph of a proof representing bundles of paths with the same origin and the same end. The notion of stream is used to desc...
Alessandra Carbone
JGT
2010
93views more  JGT 2010»
13 years 7 months ago
An asymptotic version of a conjecture by Enomoto and Ota
. Dirac. Some theorems on abstract graphs. Proc. London Math. Soc. (3), 2:69–81, 1952. [2] Hikoe Enomoto and Katsuhiro Ota. Partitions of a graph into paths with prescribed endve...
Colton Magnant, Daniel M. Martin