𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimum order graphs with specified diameter, connectivity, and regularity

✍ Scribed by V. Krishnamoorthy; K. Thulasiraman; M. N. S. Swamy


Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
977 KB
Volume
19
Category
Article
ISSN
0028-3045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Minimum graphs of specified diameter, co
✍ E. Engelhardt; V. Klee; K. Li; H. Quaife πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 769 KB

In order to avoid trivialities, it is assumed throughout that d 22, vacal, and ~23. A (d, c, v)-graph is a c-connected graph of diameter d in which each node is of valence v. The minimum order (number of nodes) of such graphs is denoted by p(d, c, v), and a minimum (d, c, v)-graph is one of minimum

On graphs with equal edge-connectivity a
✍ Donald L. Goldsmith; Arthur T. White πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 599 KB

It was proved by Chartrand f hat if G is a graph of order p for which the minimum degree is at least [&I, then the edge-connectivity of G equals the minimum degree of G. It is shown here that one may allow vertices of degree less than $p and still obtain the same conclusion, provided the degrees are

On graphs with equal edge connectivity a
✍ BΓ©la BollobΓ‘s πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 255 KB

If a grrrph G hao edge connectivity A then the vertex fiat ha a partition V(a) = U U W ash that 61 esntainti exactly A edgea from U to W, Wen~se if Qo ia a maximal graph of order n and edge connectivity A than C$, is sbtctined from the dkjsint union of two complete oubgragh8, B,[U] and &T,[ Wg, by a

An algorithm for construction of a k-con
✍ Ulrich Schumacher πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 470 KB

Two fundamental considerations in the design of a communication network are reliability and maximum transmission delay. In this paper we give an algorithm for construction of an undirected graph with n vertices in which there are k node-disjoint paths between any two nodes. The generated graphs will