Title
A note on dominating cycles in 2-connected graphs
Abstract
Let G be a 2-connected graph on n vertices such that d ( x ) + d ( y ) + d ( z ) ⩾ n for all triples of independent vertices x , y , z . We prove that every longest cycle in G is a dominating cycle unless G is a spanning subgraph of a graph belonging to one of four easily specified classes of graphs.
Year
DOI
Venue
1996
10.1016/0012-365X(94)00364-O
Discrete Mathematics
Keywords
Field
DocType
2-connected graph,connected graph
Pseudoforest,Wheel graph,Discrete mathematics,Combinatorics,Dominating set,Graph power,Cycle graph,Distance-hereditary graph,Factor-critical graph,Mathematics,Pancyclic graph
Journal
Volume
Issue
ISSN
155
1-3
Discrete Mathematics
Citations 
PageRank 
References 
3
1.20
8
Authors
3
Name
Order
Citations
PageRank
D. Bauer120438.81
Edward F. Schmeichel215520.23
H. J. Veldman326244.44