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» On the graph isomorphism problem
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TGC
2010
Springer
14 years 9 months ago
An Algebra of Hierarchical Graphs
We define an algebraic theory of hierarchical graphs, whose axioms characterise graph isomorphism: two terms are equated exactly when they represent the same graph. Our algebra can...
Roberto Bruni, Fabio Gadducci, Alberto Lluch-Lafue...
APAL
2008
61views more  APAL 2008»
14 years 12 months ago
Second-order type isomorphisms through game semantics
The characterization of second-order type isomorphisms is a purely syntactical problem that we propose to study under the enlightenment of game semantics. We study this question i...
Joachim De Lataillade
DM
2002
128views more  DM 2002»
14 years 11 months ago
On the Cayley isomorphism problem
Edward Dobson
JCT
2010
135views more  JCT 2010»
14 years 10 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson
AIR
2006
46views more  AIR 2006»
14 years 12 months ago
Spatial inference with geometric proportional analogies
Abstract We describe an instance-based reasoning solution to a variety of spatial reasoning problems. The solution centers on identifying an isomorphic mapping between labelled gra...
Emma-Claire Mullally, Diarmuid P. O'Donoghue