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EJC
2006
14 years 9 months ago
2006
A class C of graphs is said to be H-bounded if each graph in the class C admits a homomorphism to H. We give a general necessary and sufficient condition for the existence of boun...
EJC
2006
14 years 9 months ago
2006
As a generalization of Deza graphs, we introduce Deza digraphs and describe the basic theory of these graphs. We also prove the necessary and sufficient conditions when a weakly d...
EJC
2006
14 years 9 months ago
2006
The general symplectic graph Sp(2, q) is introduced. It is shown that Sp(2, q) is strongly regular. Its parameters are computed, its chromatic number and group of graph automorphis...
EJC
2006
14 years 9 months ago
2006
We show how to obtain all nonassociative Moufang loops of order less than 64 and 4262 nonassociative Moufang loops of order 64 in a unified way. We conjecture that there are no oth...
EJC
2006
14 years 9 months ago
2006
Let g(n, r) be the maximum possible cardinality of a family F of subsets of {1, 2, . . . , n} so that given a union of at most r members of F, one can identify at least one of the...