𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On diameter of permutation graphs

✍ Scribed by Gu, Weizhen


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
109 KB
Volume
33
Category
Article
ISSN
0028-3045

No coin nor oath required. For personal study only.

✦ Synopsis


Let G be a connected graph with n vertices. Let a be a permutation in S n . The a-generalized graph over G, denoted by P a (G), consists of two disjoint, identical copies of G along with edges Β£a(Β£). In this paper, we investigated the relation between diameter of P a (G) and diameter of G for any permutation


πŸ“œ SIMILAR VOLUMES


Decreasing the diameter of bounded degre
✍ Noga Alon; AndrΓ‘s GyΓ‘rfΓ‘s; MiklΓ³s RuszinkΓ³ πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 118 KB
Diameters of finite upper half plane gra
✍ Angel, Jeff; Evans, Ronald πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 370 KB πŸ‘ 1 views

Let GF(q) be a finite field of q elements. Let G denote the group of matrices M ( z , y) = (," y ) over GF(q) with y # 0. Fix an irreducible polynomial For each a E G F ( q ) , let X , be the graph whose vertices are the q2 -q elements of G, with two vertices M ( z , y), M ( v , w) joined by an edg

On the superconnectivity and the conditi
✍ Carmona, A.; FοΏ½brega, J. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 142 KB πŸ‘ 2 views

It has been proved that if the diameter D of a digraph G satisfies D Υ… 2ᐉ Οͺ 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 Υ… 2ᐉ Οͺ 1, then G is edge-superconnected. In this paper, we studied some similar condi

The number of labeled graphs placeable b
✍ Hasunuma, Toru; Shibata, Yukio πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 370 KB πŸ‘ 2 views

Let S be a finite set and u a permutation on S. The permutation u\* on the set of 2-subsets of S is naturally induced by u. Suppose G is a graph and V(G), €(G) are the vertex set, the edge set, respectively. Let V(G) = S. If €(G) and u\*(€(G)), the image of €(G) by u\*, have no common element, then

Pebbling in diameter two graphs and prod
✍ Clarke, T. A.; Hochberg, R. A.; Hurlbert, G. H. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 1 views

Results regarding the pebbling number of various graphs are presented. We say a graph is of Class 0 if its pebbling number equals the number of its vertices. For diameter d we conjecture that every graph of sufficient connectivity is of Class 0. We verify the conjecture for d = 2 by characterizing t

Antipodal distance-regular graphs of dia
✍ Tilla Schade πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 179 KB πŸ‘ 2 views

An antipodal distance-regular graph of diameter four or five is a covering graph of a connected strongly regular graph. We give existence conditions for these graphs and show for some types of strongly regular graphs that no nontrivial covers exist.