A note on unimodular congruence of graphs
โ Scribed by Russell Merris
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 407 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The highest possible minimal norm of a unimodular lattice is determined in dimensions n 33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8.10 20 in dimension 33). Unimodular lattices with no roots exist if and only if n 23, n{25
We prove, by an essentially elementary argument, that the number of nonsingular solutions of a system of d simultaneous congruences, to a prime power modulus, in d variables is at most the product of the degrees of the polynomials defining the congruences. 1996 Academic Press, Inc. where S s, k (n
A ri43xsaty and sufficient chiiriweritation lrrf totally unimodular matrices is given ick is derived from a nixewrq~ condbtion for totdi unimodularity due to Camion. II~ ~~~~~~~~~~~~tj~n is then used in cunnectirsrh with a theorem of Hoffman and Kruskal to provide an elcment~ry prwf of the charactea
This note provides counter-examples to a conjecture of D.A. Holton on stability of graphs. It is shown that even though the automorphism groups of two graphs are identical, one may be stable while the other is not.