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The Phylogeny Graphs of Doubly Partial Orders
http://hdl.handle.net/2241/00122958
http://hdl.handle.net/2241/0012295803f1e21f-0e21-46f5-b95f-9ee68e97e379
名前 / ファイル | ライセンス | アクション |
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DMGT_33-4.pdf (108.3 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2015-01-19 | |||||
タイトル | ||||||
タイトル | The Phylogeny Graphs of Doubly Partial Orders | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Park , Boram
× Park , Boram× Sano , Yoshio |
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著者別名 |
佐野, 良夫
× 佐野, 良夫 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The competition graph of a doubly partial order is known to be an interval graph. The CCE graph and the niche graph of a doubly partial order are also known to be interval graphs if the graphs do not contain a cycle of length four and three as an induced subgraph, respectively. Phylogeny graphs are variant of competition graphs. The phylogeny graph P(D) of a digraph D is the (simple undirected) graph defined by V(P(D)): = V(D) and E(P(D)): = {xy | N+D(x) ∩N+D(y) ≠ ∅} ∪{xy | (x,y) ∈ A(D) }, where N+D(x): = {v ∈ V(D) | (x,v) ∈ A(D)}. In this note, we show that the phylogeny graph of a doubly partial order is an interval graph. We also show that, for any interval graph G, there exists an interval graph G˜ such that G˜ contains the graph G as an induced subgraph and that G˜ is the phylogeny graph of a doubly partial order. |
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書誌情報 |
Discussiones mathematicae graph theory 巻 33, 号 4, p. 657-664, 発行日 2013 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1234-3099 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.7151/dmgt.1701 | |||||
著者版フラグ | ||||||
値 | publisher | |||||
出版者 | ||||||
出版者 | University of Zielona Góra |