Title
Highly non-concurrent longest cycles in lattice graphs.
Abstract
There exist planar graphs in which any two vertices are missed by some longest cycle. Although this requirement is very strong, we prove here that such graphs can also be found as subgraphs of the square and hexagonal lattices. Considering (finite) such lattices on the torus and on the Möbius strip enables us to reduce the order of our examples.
Year
DOI
Venue
2013
10.1016/j.disc.2012.03.015
Discrete Mathematics
Keywords
Field
DocType
Lattice graphs,Longest cycles
Discrete mathematics,Combinatorics,Indifference graph,Vertex (geometry),Lattice (order),Chordal graph,Möbius strip,Torus,Longest path problem,Planar graph,Mathematics
Journal
Volume
Issue
ISSN
313
19
0012-365X
Citations 
PageRank 
References 
2
0.42
1
Authors
2
Name
Order
Citations
PageRank
Ayesha Shabbir161.26
Tudor Zamfirescu27716.85