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COMBINATORICS
2006
153views more  COMBINATORICS 2006»
13 years 9 months ago
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
T. R. Riley, William P. Thurston
SIAMDM
2010
109views more  SIAMDM 2010»
13 years 4 months ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein
COMBINATORICS
2007
87views more  COMBINATORICS 2007»
13 years 9 months ago
Recognizing Cluster Algebras of Finite Type
We compute the list of all minimal 2-infinite diagrams, which are cluster algebraic analogues of extended Dynkin graphs.
Ahmet I. Seven
CONCUR
2004
Springer
14 years 3 months ago
Verifying Finite-State Graph Grammars: An Unfolding-Based Approach
We propose a framework where behavioural properties of finite-state systems modelled as graph transformation systems can be expressed and verified. The technique is based on the ...
Paolo Baldan, Andrea Corradini, Barbara König
COMBINATORICA
2010
13 years 4 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