Presentation 1993/5/27
An algorithm for maximum clique of intersection graph of isooriented rectangles on a cylinder
Takashi Kizu, Toshiro Araki, Toshinobu Kashiwabara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Let F be a family of non empty sets.A graph G is an intersection graph associated with F if its vertices can be put in a one-to-one correspondence with the elements of F,in such a way that two vertices axe adjacent in G if and only if the two corresponding sets in F have a non empty intersection. Graph G is called a rectangle-on-a-cylinder-intersection-graph if F is a set of isooriented rectangles on the side of a cylinder, F being called a rectangle-on-a-cylinder-intersection model for G. In this paper,an algorithm is presented that,given the rectangle- on-a-cylinder-intersection model F of graph G,finds a maximum clique of G in O(n^2+ne)time and O(n)space,where n is the number of vertices and e is the number of edges.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) intersection graph / circular-arc graph / rectangle-on-a- cylinder-intersection graph / maximum clique
Paper # COMP93-10,SS93-4
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Conference Information
Committee COMP
Conference Date 1993/5/27(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) An algorithm for maximum clique of intersection graph of isooriented rectangles on a cylinder
Sub Title (in English)
Keyword(1) intersection graph
Keyword(2) circular-arc graph
Keyword(3) rectangle-on-a- cylinder-intersection graph
Keyword(4) maximum clique
1st Author's Name Takashi Kizu
1st Author's Affiliation Department of Information and Computer Sciences,Faculty of Engineering Science Osaka University()
2nd Author's Name Toshiro Araki
2nd Author's Affiliation Department of Information and Computer Sciences,Faculty of Engineering Science Osaka University
3rd Author's Name Toshinobu Kashiwabara
3rd Author's Affiliation Department of Information and Computer Sciences,Faculty of Engineering Science Osaka University
Date 1993/5/27
Paper # COMP93-10,SS93-4
Volume (vol) vol.93
Number (no) 81
Page pp.pp.-
#Pages 7
Date of Issue