Let D be a strongly connected balanced bipartite directed graph of order 2a ≥ 10 other than a directed cycle. Let x, y be distinct vertices in D. {x, y} dominates a vertex z if x → z and y → z; in this case, we call the pair {x, y} dominating. In this paper we prove: If max{d(x), d(y)} ≥ 2a − 2 for every dominating pair of vertices {x, y}, then D contains cycles of all lengths 2, 4, . . . , 2a − 2 or D is isomorphic to a certain digraph of order ten which we specify.
oai:noad.sci.am:135798
սեղմել այստեղ՝ կապին հետևելու համար
Institute for Informatics and Automation Problems
11th International Conference on Computer Science and Information Technologies CSIT 2017
Mar 3, 2021
Jul 16, 2020
48
https://noad.sci.am/publication/149325
Հրատարակության անուն | Ամսաթիվ |
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Samvel Kh. Darbinyan, A Sufficient Condition for pre-Hamiltonian Cycles inBipartite Digraphs | Mar 3, 2021 |
Դարբինյան Սամվել Կարապետյան Իսկանդար
Darbinyan Samvel Karapetyan Iskandar
Darbinyan Samvel