𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Connectedness of digraphs and graphs under constraints on the conditional diameter

✍ Scribed by X. Marcote; C. Balbuena; J. Fàbrega


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
206 KB
Volume
45
Category
Article
ISSN
0028-3045

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the superconnectivity and the conditi
✍ Carmona, A.; F�brega, J. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 2 views

It has been proved that if the diameter D of a digraph G satisfies D Յ 2ᐉ Ϫ 2, where ᐉ is a parameter which can be thought of as a generalization of the girth of a graph, then G is superconnected. Analogously, if D Յ 2ᐉ Ϫ 1, then G is edge-superconnected. In this paper, we studied some similar condi

On the connectivity and the conditional
✍ Balbuena, C.; Carmona, A.; F�brega, J.; Fiol, M. A. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 771 KB

Recently, it was proved that if the diameter D of a graph G is small enough in comparison with its girth, then G is maximally connected and that a similar result also holds for digraphs. More precisely, if the diameter D of a digraph G satisfies D 5 21 -1, then G has maximum connectivity ( K = 6 ) .

Disjoint Cycles in Eulerian Digraphs and
✍ Richard A. Brualdi; Jian Shen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 87 KB

denote the set of all m × n {0, 1}-matrices with row sum vector R and column sum vector S. Suppose A(R, S) ] ". The interchange graph G(R, S) of A(R, S) was defined by Brualdi in 1980. It is the graph with all matrices in A(R, S) as its vertices and two matrices are adjacent provided they differ by

On decomposition of triangle-free graphs
✍ Kaneko, Atsushi 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 80 KB 👁 2 views

We prove that if s and t are positive integers and if G is a triangle-free graph with minimum degree s + t, then the vertex set of G has a decomposition into two sets which induce subgraphs of minimum degree at least s and t, respectively.

On stability of Hamilton-connectedness u
✍ Zdeněk Ryjáček; Petr Vrána 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB 👁 1 views

We show that, in a claw-free graph, Hamilton-connectedness is preserved under the operation of local completion performed at a vertex with 2-connected neighborhood. This result proves a conjecture by Bollobás et al.