๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Distance-regular Graphs the Distance Matrix of which has Only One Positive Eigenvalue

โœ Scribed by J.H. Koolen; S.V. Shpectorov


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
244 KB
Volume
15
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the distance matrix of a directed gra
โœ R. L. Graham; A. J. Hoffman; H. Hosoya ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 2 views

## Abstract In this note, we show how the determinant of the distance matrix __D(G__) of a weighted, directed graph __G__ can be explicitly expressed in terms of the corresponding determinants for the (strong) blocks __G~i~__ of __G__. In particular, when cof __D(G__), the sum of the cofactors of _

On the Multiplicities of the Primitive I
โœ Arlene A Pascasio ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

and Terwilliger recently introduced the notion of a tridiagonal pair. We apply their results to distance-regular graphs and obtain the following theorem. THEOREM. Let denote a distance-regular graph with diameter D โ‰ฅ 3. Suppose is Q-polynomial with respect to the ordering E 0 , E 1 , . . . , E D of