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ARSCOM
2004
13 years 5 months ago
2004
It was shown by Abrham that the number of pure Skolem sequences of order n, n 0 or 1 (mod 4), and the number of extended Skolem sequences of order n, are both bounded below by 2 ...
ARSCOM
2004
13 years 5 months ago
2004
We show that several known theorems on graphs and digraphs are equivalent. The list of equivalent theorems include Kotzig's result on graphs with unique 1-factors, a lemma by...
ARSCOM
2004
13 years 5 months ago
2004
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...