Mathematical Programming

, Volume 12, Issue 1, pp 255–259 | Cite as

Line perfect graphs

  • L. E. TrotterJr.


The concept of line perfection of a graph is defined so that a simple graph is line perfect if and only if its line graph is perfect in the usual sense. Line perfect graphs are characterized as those which contain no odd cycles of size larger than 3. Two well-know theorems of König for bipartite graphs are shown to hold also for line perfect graphs; this extension provides a reinterpretation of the content of these theorems.


Mathematical Method Bipartite Graph Line Graph Simple Graph Usual Sense 
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Copyright information

© The Mathematical Programming Society 1977

Authors and Affiliations

  • L. E. TrotterJr.
    • 1
  1. 1.Cornell UniversityIthacaUSA

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