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DM
2008
86views more  DM 2008»
13 years 10 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 10 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...
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 10 months ago
The recognizability of sets of graphs is a robust property
Once the set of finite graphs is equipped with an algebra structure (arising from the definition of operations that generalize the concatenation of words), one can define the noti...
Bruno Courcelle, Pascal Weil
PODS
2004
ACM
139views Database» more  PODS 2004»
14 years 10 months ago
On Preservation under Homomorphisms and Unions of Conjunctive Queries
Unions of conjunctive queries, also known as select-project-join-union queries, are the most frequently asked queries in relational database systems. These queries are definable b...
Albert Atserias, Anuj Dawar, Phokion G. Kolaitis
CORR
2010
Springer
65views Education» more  CORR 2010»
13 years 10 months ago
Statistical properties of subgroups of free groups
The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based ...
Frédérique Bassino, Armando Martino,...