Presentation 2004-06-25
Embedding bipartite graphs into book space
Miki MIYAUCHI,
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Abstract(in English) This paper studies the problem of book-embeddings of bipartite graphs. When each edge is allowed to appear in one or more pages by crossing the spine of a book, it is well known that every graph G can be embedded in a 3-page book. Recently, we have shown that there exists a d+1-page book embedding of G in which each edge crosses the spine O(log_dn) times. This result is the best possible for K_n in this case. This paper shows that there exists a d+1-page book embedding of a bipartite graph G_ (m>n) in which each edge crosses the spine 〓log_dn〓 times. We conjecture that our result is the best possible as to the coefficient of the highest degree.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Bipartite graph / Book embedding / Crossings of edges over the spine
Paper # COMP2004-24
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Conference Information
Committee COMP
Conference Date 2004/6/18(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Embedding bipartite graphs into book space
Sub Title (in English)
Keyword(1) Bipartite graph
Keyword(2) Book embedding
Keyword(3) Crossings of edges over the spine
1st Author's Name Miki MIYAUCHI
1st Author's Affiliation NTT Communication Science Laboratories()
Date 2004-06-25
Paper # COMP2004-24
Volume (vol) vol.104
Number (no) 147
Page pp.pp.-
#Pages 5
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