Bipartite toughness and -factors in bipartite graphs.
Liu, Guizhen, Qian, Jianbo, Sun, Jonathan Z., Xu, Rui (2008)
International Journal of Mathematics and Mathematical Sciences
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Liu, Guizhen, Qian, Jianbo, Sun, Jonathan Z., Xu, Rui (2008)
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A. K. Dewdney, Frank Harary (1976)
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A k-monocore graph is a graph which has its minimum degree and degeneracy both equal to k. Integer sequences that can be the degree sequence of some k-monocore graph are characterized as follows. A nonincreasing sequence of integers d0, . . . , dn is the degree sequence of some k-monocore graph G, 0 ≤ k ≤ n − 1, if and only if k ≤ di ≤ min {n − 1, k + n − i} and ⨊di = 2m, where m satisfies [...] ≤ m ≤ k ・ n − [...] .
V. A., Ustimenko (2007)
Serdica Journal of Computing
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We have been investigating the cryptographical properties of in nite families of simple graphs of large girth with the special colouring of vertices during the last 10 years. Such families can be used for the development of cryptographical algorithms (on symmetric or public key modes) and turbocodes in error correction theory. Only few families of simple graphs of large unbounded girth and arbitrarily large degree are known. The paper is devoted to the more general theory of directed...