| Presentation | 2000/4/26 On the factorization of the product graph of a hypercube and a path Yosuke Kikuchi, Hiroyuki Odaka, Yukio Shibata, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The skew product of graphs is introduced in Y.Shibata and Y.Kikuchi, Graph products based on the distance in graphs, IEICE Trans. Fundamentals, E83-A, 3(2000) 459-464. We introduce a new class of graphs using the skew product. This class is the skew product of a hypercube and a path, where the length of the path is greater than the dimension of the hypercube by one. We show that if n is odd, then the skew product of the n dimensional hypercube and the path of length n+1 is isomorphically factorized by the n-dimensional butterfly. We introduce the swallowtail graph and the twisted swallowtail graph that play an important role in the proof of the above statement. Moreover, we show that if n is even, then the skew product of the n dimensional hypercube and the path of length n+1 is decomposed by n/2 n-dimensional butterflies and 2^n paths of length n+1. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | hypercube / butterfly / skew product / isomorphic factorization |
| Paper # | COMP2000-2 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2000/4/26(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the factorization of the product graph of a hypercube and a path |
| Sub Title (in English) | |
| Keyword(1) | hypercube |
| Keyword(2) | butterfly |
| Keyword(3) | skew product |
| Keyword(4) | isomorphic factorization |
| 1st Author's Name | Yosuke Kikuchi |
| 1st Author's Affiliation | Department of Computer Science, Gunma University() |
| 2nd Author's Name | Hiroyuki Odaka |
| 2nd Author's Affiliation | Department of Computer Science, Gunma University |
| 3rd Author's Name | Yukio Shibata |
| 3rd Author's Affiliation | Department of Computer Science, Gunma University |
| Date | 2000/4/26 |
| Paper # | COMP2000-2 |
| Volume (vol) | vol.100 |
| Number (no) | 25 |
| Page | pp.pp.- |
| #Pages | 8 |
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