A Classe de Grafos PI

Authors

  • S. Almeida
  • C.P. de Mello
  • A. Gomide

DOI:

https://doi.org/10.5540/tema.2005.06.01.0033

Abstract

Neste trabalho mostramos que a representação de um grafo PI, grafo interseção de triângulos entre duas retas paralelas, que não é grafo de intervalo, contém um triângulo obtusângulo. Além disso, classificamos os grafos da família de Gallai que são PI.

References

[1] J.A. Bondy, U.S.R. Murty, “Graph Theory with Applications”, American Elsevier, New York, 1979.

K.S. Booth, G.S. Lueker, Testing for the consecutive ones property, interval graphs and graph planarity using PQ-tree algorithms, J. Comp. and Syst. Sci., 13 (1976), 335-379.

A. Brandst¨adt, V. Le, J. Spinrad, “Graph Classes - a Survey”, SIAM, Monographs on Discrete Math. and Applications, 1999.

F. Cheah, D.G. Corneil, On the structure of trapezoid graphs, Discrete Applied Math., 66 (1996), 109-133.

D.J. Corneil, P.A. Kamula, Extensions of permutation and interval graphs, Congressus Numerantium, 58 (1987), 267-275.

T. Gallai, Transitiv Orientierbare Graphen, Acta Math. Acad. Sci. Hung, 18 (1967), 25-66.

M.C. Golumbic, “Algorithmic Graph Theory and Perfect Graphs”, Academic Press, New York, 1980.

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Published

2005-06-01

How to Cite

Almeida, S., de Mello, C., & Gomide, A. (2005). A Classe de Grafos PI. Trends in Computational and Applied Mathematics, 6(1), 33–42. https://doi.org/10.5540/tema.2005.06.01.0033

Issue

Vol. 6 No. 1 (2005)

Section

Original Article

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