An infinite class of Williamson matrices
โ Scribed by Richard J Turyn
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 149 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that if there is a skew-Hadamard matrix of order m then there is an Hadamard matrix of order 4m2 -4m whose excess attains the maximum possible bound predicted by S. Kounias and N. Farmakis, On the excess of Hadamard matrices, Discrete Mathematics 68 (1988) 59-69. That is a(4m\* -4m) = 4(m -1
for all w in G. G is called reach-preservable if each of its spanning trees contains at least one reachpreserving vertex. We show that K 2,n is reach-preservable. We show that a graph is bipartite if and only if given any pair of vertices, there exists a spanning tree in which both vertices a reach-