Title
Forbidden subgraphs that imply hamiltonian-connectedness
Abstract
It is proven that if G is a 3-connected claw-free graph which is also H1-free (where H1 consists of two disjoint triangles connected by an edge), then G is hamiltonian-connected. Also, examples will be described that determine a finite family of graphs ${\cal L}$ such that if a 3-connected graph being claw-free and L-free implies G is hamiltonian-connected, then L $\in \cal L$. © 2002 Wiley Periodicals, Inc. J Graph Theory 40: 104–119, 2002 The first four authors dedicate this paper to Henk Jan Veldman, a valued colleague and beloved friend who died October 12, 1998.
Year
DOI
Venue
2002
10.1002/jgt.v40:2
Siam Journal on Control and Optimization
Keywords
Field
DocType
3-connected graph,wiley periodicals,inc. j graph theory,finite family,3-connected claw-free graph,cal l,disjoint triangle,beloved friend,henk jan veldman,claw free graph
Discrete mathematics,Combinatorics,Line graph,Graph power,Forbidden graph characterization,Graph factorization,Distance-hereditary graph,Cograph,Mathematics,Perfect graph theorem,Planar graph
Journal
Volume
Issue
ISSN
40
2
0364-9024
Citations 
PageRank 
References 
1
0.37
2
Authors
5
Name
Order
Citations
PageRank
H. J. Broersma110.37
Ralph J. Faudree255992.90
Andreas Huck3766.61
Huib Trommel430.74
H. J. Veldman526244.44