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» Duality in Infinite Graphs
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EJC
2010
13 years 7 months ago
Dualities in full homomorphisms
Abstract. In this paper we study dualities of graphs and, more generally, relational structures with respect to full homomorphisms, that is, mappings that are both edge- and non-ed...
Richard N. Ball, Jaroslav Nesetril, Ales Pultr
COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 7 months ago
On Infinite Cycles I
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
Reinhard Diestel, Daniela Kühn
SIAMCO
2000
74views more  SIAMCO 2000»
13 years 7 months ago
Nonsmooth Duality, Sandwich, and Squeeze Theorems
Given a nonlinear function h separating a convex and a concave function, we provide various conditions under which there exists an affine separating function whose graph is somewhe...
A. S. Lewis, R. E. Lucchetti
JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
CORR
2011
Springer
128views Education» more  CORR 2011»
13 years 2 months ago
LIFO-search on digraphs: A searching game for cycle-rank
We consider the extension of the last-in-first-out graph searching game of Giannopoulou and Thilikos to digraphs. We show that all common variations of the game require the same ...
Paul Hunter