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» On a class of finite symmetric graphs
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DM
2006
107views more  DM 2006»
13 years 8 months ago
On a new reformulation of Hadwiger's conjecture
Assuming that every proper minor closed class of graphs contains a maximum with respect to the homomorphism order, we prove that such a maximum must be homomorphically equivalent ...
Reza Naserasr, Yared Nigussie
ICALP
2005
Springer
14 years 1 months ago
Preservation Under Extensions on Well-Behaved Finite Structures
A class of relational structures is said to have the extension preservation property if every first-order sentence that is preserved under extensions on the class is equivalent t...
Albert Atserias, Anuj Dawar, Martin Grohe
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 8 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
MOR
2010
111views more  MOR 2010»
13 years 6 months ago
Generalized Domino-Parity Inequalities for the Symmetric Traveling Salesman Problem
We extend the work of Letchford (2000) by introducing a new class of valid inequalities for the traveling salesman problem, called the generalized domino-parity (GDP) constraints....
William J. Cook, Daniel G. Espinoza, Marcos Goycoo...
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 8 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...