Diametral path graphs

  • J. S. Deogun
  • D. Kratsch
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1017)


We introduce a new class of graphs called diametral path graphs that properly contains the class of asteroidal triple-free graphs and the class of dominating pair graphs. We characterize the trees as well as the chordal graphs that are diametral path graphs. We present an O(n3m) algorithm deciding whether a given graph has a dominating diametral path. Finally, we study the structure of minimum connected dominating sets in diametral path graphs.


Short Path Chordal Graph Graph Class Perfect Graph Permutation Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • J. S. Deogun
    • 1
  • D. Kratsch
    • 2
  1. 1.Department of Computer Science and EngineeringUniversity of Nebraska-LincolnLincolnUSA
  2. 2.FakultÄt für Mathematik und InformatikFriedrich-Schiller-UniversitÄtJenaGermany

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