A Short Note on Spanning Cactus Problem of Petersen Graph

  • Chinmay DebnathEmail author
  • Alak Kumar Datta
Conference paper
Part of the Learning and Analytics in Intelligent Systems book series (LAIS, volume 12)


We study the spanning cactus problem on Petersen graph. Whether there exist a spanning cactus or not in a general graph is an intractable problem. The computational complexity of the algorithm for finding the minimum spanning cactus in a general graph is also NP- complete. In this paper we present a result which states that there does not exist any spanning cactus when the graph under consideration is a Petersen graph.


Cactus Minimum spanning cactus Minimum spanning tree Petersen graph NP-completeness 


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Authors and Affiliations

  1. 1.Department of Computer and System SciencesVisva-Bharati UniversitySantiniketanIndia

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