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A Note on the Integrity of Middle Graphs

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Discrete Geometry, Combinatorics and Graph Theory (CJCDGCGT 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4381))

Abstract

The integrity I(G) of a noncomplete connected graph G is a measure of network invulnerability and is defined by I(G) =  min {|S| + m(G − S)}, where S and m(G − S) denote the the subset of V and the order of the largest component of G − S, respectively. In this paper, we determine the integrity and some other parameters of middle graphs of some classes of graphs.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P.R. China

    Aygul Mamut & Elkin Vumar

Authors
  1. Aygul Mamut
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  2. Elkin Vumar
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Editor information

Jin Akiyama William Y. C. Chen Mikio Kano Xueliang Li Qinglin Yu

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Mamut, A., Vumar, E. (2007). A Note on the Integrity of Middle Graphs. In: Akiyama, J., Chen, W.Y.C., Kano, M., Li, X., Yu, Q. (eds) Discrete Geometry, Combinatorics and Graph Theory. CJCDGCGT 2005. Lecture Notes in Computer Science, vol 4381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70666-3_14

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  • DOI: https://doi.org/10.1007/978-3-540-70666-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70665-6

  • Online ISBN: 978-3-540-70666-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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