Title
The Spanning Connectivity Of The Burnt Pancake Graphs
Abstract
Let u and v be any two distinct vertices of an undirected graph G, which is k-connected. For 1 <= w <= k, a w-container C(u, v) of a k-connected graph G is a set of w-disjoint paths joining u and v. A w-container C(u, v) of G is a w*-container if it contains all the vertices of G. A graph G is w*-connected if there exists a w*-container between any two distinct vertices. Let K(G) be the connectivity of G. A graph G is super spanning connected if G is i*-connected for 1 <= i <= K(G). In this paper, we prove that the n-dimensional burnt pancake graph B(n) is super spanning connected if and only if n not equal 2.
Year
DOI
Venue
2009
10.1587/transinf.E92.D.389
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Keywords
Field
DocType
interconnection networks, Hamiltonian cycles, Hamiltonian connected, container
Discrete mathematics,Combinatorics,Strongly regular graph,Bound graph,Graph factorization,Neighbourhood (graph theory),Distance-regular graph,Shortest-path tree,Connectivity,Mathematics,Path graph
Journal
Volume
Issue
ISSN
E92D
3
0916-8532
Citations 
PageRank 
References 
9
0.52
16
Authors
4
Name
Order
Citations
PageRank
Cherng Chin1121.67
Tien-hsiung Weng28811.13
Lih-Hsing Hsu31899134.22
Shang-Chia Chiou4111.57