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LICS
2007
IEEE
14 years 1 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
AB
2008
Springer
14 years 2 months ago
Local Structure and Behavior of Boolean Bioregulatory Networks
Abstract. A well-known discrete approach to modeling biological regulatory networks is the logical framework developed by R. Thomas. The network structure is captured in an interac...
Heike Siebert
CORR
2004
Springer
75views Education» more  CORR 2004»
13 years 7 months ago
Locally connected spanning trees on graphs
A locally connected spanning tree of a graph G is a spanning tree T of G such that the set of all neighbors of v in T induces a connected subgraph of G for every v V (G). The pur...
Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen
JCT
2006
72views more  JCT 2006»
13 years 7 months ago
Arboricity and tree-packing in locally finite graphs
Nash-Williams' arboricity theorem states that a finite graph is the edge-disjoint union of at most k forests if no set of vertices induces more than k( - 1) edges. We prove a...
Maya Jakobine Stein
COMBINATORICA
2010
13 years 2 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel