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路和圈的半强积在书中的嵌入(英文) 被引量:2

Embedding Semistrong Product of Paths and Cycles in Books
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摘要 把一个图G嵌入到书中就是把G的顶点放到书脊上,各条边嵌入到一个半平面上并且保证各条边不相交.在本文中,作者讨论了路和圈半强积的书式嵌入问题,并且给出了这些图书页数的上界.特别的,在某些条件下,作者给出了这些图确定的书页数. Book embedding of a graph G consists of placing the vertices of G on a spine and assigning edges of the graph to pages so that edges assigned to the same page without crossing. In this paper,we discuss book embedding of semistrong product of paths and cycles,and give upper bounds of the page number of these graphs. Specially,under some conditions,we can determine the exact page number of these graphs.
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2015年第6期73-77,共5页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(11171283 11401510)
关键词 书式嵌入 书页数 半强积 book embedding page number semistrong product
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  • 1OLLMANN L T. On the book thicknesses of various graphs [ C]//Proc. 4th southeastern conference on combinatorics, Graphtheory and computing, Congressus Numerantium, Winnipeg: Utilitas Mathematics Publ. Inc.,1973. VIII 459.
  • 2CHUNG F R K, LEIGHTON F T,ROSENBERG A L. Embedding graph in books: a layout problem with applications to VLSI.design [J]. SIAM J Alg Disc Math, 1987,8( 1) :33-58.
  • 3SHAHROKHI F, SHI W. On crossing sets, disjiont sets and pagenumber [J]. J Algor, 2000,34(1) :40-53.
  • 4BEMHART F, KAINEN B. The book thickness of a graph [ J]. J Comb Theory B, 1979,27(3) :320-331.
  • 5BONDY J A, MURTY U S R. Graph theory with application [ M]. Berlin:Springer, 2008.
  • 6HEATH L S,LEIGHTON F T,ROSENBERG A L. Compariting queues and stacks as mechanisms for laying out graphs [ J ].SIAM J Discrete Math, 1992,5(3) :398-412.
  • 7ROSENBERG A L. The diogenes approach to testable fault-tolerant arrays of processors [ J]. IEEE Trans Comput, 1983 ,32(10):902-910.
  • 8TARJAN R E. Sorting using networks of queues and stacks [J]. J Appl Comput Math, 1972,19(2) :341-346.
  • 9KAPPOOR N, RUSSELL M, STOJMENOVIC I,et aL A genetic algorithm for finding the pagenumber of interconnection net-works [J]. J Parallel Distr Com, 2002,62(2) :267-283.
  • 10YANNAKAKIS M. Embedding planar graph in four pages [J]. J Comput Syst Sci, 1989,38( 1 ) :36-37.

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