Title
Computational complexity of covering three-vertex multigraphs.
Abstract
A covering projection from a graph G onto a graph H is a mapping of the vertices of G onto the vertices of H such that, for every vertex v of G, the neighborhood of v is mapped bijectively onto the neighborhood of its image. Moreover, if G and H are multigraphs, then this local bijection has to preserve multiplicities of the neighbors as well. The notion of covering projection stems from topology, but has found applications in areas such as the theory of local computation and construction of highly symmetric graphs. It provides a restrictive variant of the constraint satisfaction problem with additional symmetry constraints on the behavior of the homomorphisms of the structures involved.
Year
DOI
Venue
2016
10.1016/j.tcs.2015.09.013
Theoretical Computer Science
Keywords
Field
DocType
Computational complexity,Graph homomorphism,Covering projection
Discrete mathematics,Combinatorics,Graph power,Graph homomorphism,Graph labeling,Quartic graph,Neighbourhood (graph theory),Cycle graph,Covering graph,Mathematics,Complement graph
Journal
Volume
Issue
ISSN
609
P1
0304-3975
Citations 
PageRank 
References 
0
0.34
12
Authors
3
Name
Order
Citations
PageRank
Jan Kratochvíl11751151.84
Jan Arne Telle285180.13
Marek Tesar371.63