Efficient algorithms for vertex arboricity of planar graphs

  • Abhik Roychoudhury
  • Susmita Sur-Kolay
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1026)


Acyclic-coloring of a graph G = (V,E) is a partitioning of V, such that the induced subgraph of each partition is acyclic. The minimum number of such partitions of V is defined as the vertex arboricity of G. A linear time algorithm for acyclic-coloring of planar graphs with 3 colors is presented. Next, an O(n2) algorithm is proposed which produces a valid acyclic-2-coloring of a planar graph, if one exists, since there are planar graphs with arboricity 3.


Vertex arboricity planar graph graph coloring testing of sequential circuits 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Abhik Roychoudhury
    • 1
  • Susmita Sur-Kolay
    • 1
  1. 1.Department of Computer Science and EngineeringJadavpur UniversityCalcuttaIndia

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