| Paper Abstract and Keywords |
| Presentation |
2006-01-11 14:00
Score Sequence Pair Problems of (r11,r12,r22)-Tournaments
-- Construction --
Masaya Takahashi (Fukuoka Inst. of Tech./Waseda Univ), Takahiro Watanabe, Takeshi Yoshimura (Waseda Univ) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Let G be any graph with the property P (for example, general graph, directed graph, etc.) and S be nonnegative and non-decreasing integer sequence(s). The prescribed degree sequence problem is a problem to determine whether there is a graph G having S as the prescribed sequence(s) of degrees or outdegrees of the vertices. From 1950’s, P has attracted wide attentions, and its many extensions have been considered by many researchers, such as Erdös, Harary. Let P be the property satisfying the following (1) and (2):
(1) G is a directed graph with two disjoint vertex sets A and B.
(2) There are r11(r22, respectively) directed edges between every pair of vertices in A(B), and r12 directed edges between every pair of vertex in A and vertex in B.
Then G is called an (r11, r12, r22)-tournament (“tournament”, for short). The problem is called the score sequence pair problem of a “tournament” (realizable, for short). S is called a score sequence pair of a “tournament” if the answer of problem is “yes.” This problem has important applications such as the communication network control problems. Recently, we proposed the algorithm for determining in linear time whether a pair of two integer sequences is realizable or not. However the following problem remains: Construct such the tournament efficiency from a score sequence pair. Solving this problem is very important for the application described above.
In this paper, we propose an optimal time algorithm for constructing such a tournament. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
algorithm / graph theory / prescribed degrees / score sequence / realizable / tournament / / |
| Reference Info. |
IEICE Tech. Rep., vol. 105, no. 502, CAS2005-70, pp. 1-6, Jan. 2006. |
| Paper # |
CAS2005-70 |
| Date of Issue |
2006-01-04 (CAS) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
CAS |
| Conference Date |
2006-01-11 - 2006-01-13 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
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| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
CAS |
| Conference Code |
2006-01-CAS |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Score Sequence Pair Problems of (r11,r12,r22)-Tournaments |
| Sub Title (in English) |
Construction |
| Keyword(1) |
algorithm |
| Keyword(2) |
graph theory |
| Keyword(3) |
prescribed degrees |
| Keyword(4) |
score sequence |
| Keyword(5) |
realizable |
| Keyword(6) |
tournament |
| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Masaya Takahashi |
| 1st Author's Affiliation |
Fukuoka Institute of Technology (Fukuoka Inst. of Tech./Waseda Univ) |
| 2nd Author's Name |
Takahiro Watanabe |
| 2nd Author's Affiliation |
Waseda University (Waseda Univ) |
| 3rd Author's Name |
Takeshi Yoshimura |
| 3rd Author's Affiliation |
Waseda University (Waseda Univ) |
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| Speaker |
Author-1 |
| Date Time |
2006-01-11 14:00:00 |
| Presentation Time |
25 minutes |
| Registration for |
CAS |
| Paper # |
CAS2005-70 |
| Volume (vol) |
vol.105 |
| Number (no) |
no.502 |
| Page |
pp.1-6 |
| #Pages |
6 |
| Date of Issue |
2006-01-04 (CAS) |
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