Study of the Bipartite Edge Frustration of Graphs

  • Zahra YarahmadiEmail author
Part of the Carbon Materials: Chemistry and Physics book series (CMCP, volume 9)


The smallest number of edges that have to be deleted from a graph to obtain a bipartite spanning subgraph is called the bipartite edge frustration of G and denoted by φ(G). This topological index is related to the well-known Max − cut problem, and has important applications in computing stability of fullerenes. In this paper we determine the bipartite edge frustration of some classes of composite graphs. Moreover, this quantity for four classes of graphs arising from a given graph under different types of edge subdivisions is investigated.


Bipartite Graph Black Vertex Root Vertex Composite Graph Chain Graph 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of SciencesKhorramabad Branch, Islamic Azad UniversityKhorramabadIran

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