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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zhihe, Liang Qingde, Kang |
| Copyright Year | 1998 |
| Abstract | A packing of the complete directed symmetric graph DK$_{v}$ with m-circuits, denoted by (v,m)-DCP, is defined to be a family of arc-disjoint m-circuits of DK$_{v}$ such that any one arc of DK$_{v}$ occurs in at most one m-circuit. The packing number P(v,m) is the maximum number of m-circuits in such a packing. The packing problem is to determine the value P(v,m) for every integer v ≥ m. In this paper, the problem is reduced to the case $$m + 6 \leqslant \upsilon \leqslant 2m{\text{ - }}\left[ {\frac{{\sqrt {{\text{4}}m - 3 + 1} }}{2}} \right]$$ for any fixed even integer m≥4. In particular, the values of P(v,m) are completely determined for m = 12, 14 and 16. |
| Starting Page | 463 |
| Ending Page | 472 |
| Page Count | 10 |
| File Format | |
| ISSN | 10051031 |
| Journal | Applied Mathematics-A Journal of Chinese Universities |
| Volume Number | 13 |
| Issue Number | 4 |
| e-ISSN | 19930445 |
| Language | English |
| Publisher | Editorial Committee of Applied Mathematics |
| Publisher Date | 1998-01-01 |
| Publisher Place | Hangzhou |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Complete directed graph m-circuit packing packing number Mathematics Applications of Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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