𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bipartite graphs and digraphs with maximum connectivity

✍ Scribed by J. Fàbrega; M.A. Fiol

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
607 KB
Volume
69
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Connectivity of large bipartite digraphs
Connectivity of large bipartite digraphs and graphs
✍ M.C. Balbuena; A. Carmona; J. Fàbrega; M.A. Fiol 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 638 KB

This paper studies the relation between the connectivity and other parameters of a bipartite (di)graph G. Namely, its order n, minimum degree 6, maximum degree A, diameter D, and a new parameter f related to the number of short paths in G. (When G is a bipartite -undirected --graph this parameter tu

Constructing a bipartite graph of maximu
Constructing a bipartite graph of maximum connectivity with prescribed degrees
✍ Asano, Takao 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 328 KB 👁 3 views

d 2,n 2 ) is a bipartite graphical sequence, if there is a bipartite graph G with degrees {D 1 , D 2 } (i.e., G has two independent vertex sets In other words, {D 1 , D 2 } is a bipartite graphical sequence if and only if there is an n 1 1 n 2 matrix of 0's and 1's having d 1j 1 1's in row j 1 and

On super-edge-connected digraphs and bip
On super-edge-connected digraphs and bipartite digraphs
✍ M. A. Fiol 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 524 KB

## Abstract A maximally edge‐connected digraph is called super‐λ if every minimum edge disconnecting set is trivial, i.e., it consists of the edges adjacent to or from a given vertex. In this paper sufficient conditions for a digraph to be super‐λ are presented in terms of parameters such as diamet

Graphs and digraphs with given girth and
Graphs and digraphs with given girth and connectivity
✍ Jiping Liu; ; Huishan Zhou 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 230 KB

In this paper, we show that for any given two positive integers g and k with g > 3, there exists a graph (digraph) G with girth g and connectivity k. Applying this result, we give a negative answer to the problem proposed by M. Junger, G. Reinelt and W.R Pulleyblank (1985).

Distance connectivity in graphs and digr
Distance connectivity in graphs and digraphs
✍ Balbuena, M. C.; Carmona, A.; Fiol, M. A. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 642 KB

Let G = ( V , A ) be a digraph with diameter D # 1. For a given integer 2 5 t 5 D , the t-distance connectivity K ( t ) of G is the minimum cardinality of an z --+ y separating set over all the pairs of vertices z, y which are a t distance d(z, y) 2 t. The t-distance edge connectivity X ( t ) of G i

The connectivity of large digraphs and g
The connectivity of large digraphs and graphs
✍ M. A. Fiol 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 632 KB

## Abstract This paper studies the relation between the connectivity and other parameters of a digraph (or graph), namely its order __n__, minimum degree δ, maximum degree Δ, diameter __D__, and a new parameter l~pi;~, __0__ ≤ π ≤ δ − 2, related with the number of short paths (in the case of graphs