Journal of the Ramanujan Mathematical Society

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Chordal Graphs with Specified Perfect Elimination Orderings


Affiliations
1 Department of Computer Science, Information Processing Centre, Birla Institute of Technology and Science, Pilani, Rajasthan 333 031, India
2 Department of Mathematics, Indian Institute of Technology, Kanpur-208 016, India
3 Stat-Math. Division, Indian Statistical Institute, Calcutta-700035, India
     

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In this paper we characterize chordal graphs in which:

(i) Every perfect elimination ordering (PEO) can be generated by MCS algorithm.
(ii) Every PEO can be generated by LEX-BFS algorithm,
(iii) Every PEO can be generated by MCS algorithm as well as LEX-BFS algorithm, and
(iv) Every ordering generated by LEX-BFS algorithm can also be generated by MCS algorithm and vice versa.


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  • Chordal Graphs with Specified Perfect Elimination Orderings

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Authors

B. S. Panda
Department of Computer Science, Information Processing Centre, Birla Institute of Technology and Science, Pilani, Rajasthan 333 031, India
S. P. Mohanty
Department of Mathematics, Indian Institute of Technology, Kanpur-208 016, India
S. B. Rao
Stat-Math. Division, Indian Statistical Institute, Calcutta-700035, India

Abstract


In this paper we characterize chordal graphs in which:

(i) Every perfect elimination ordering (PEO) can be generated by MCS algorithm.
(ii) Every PEO can be generated by LEX-BFS algorithm,
(iii) Every PEO can be generated by MCS algorithm as well as LEX-BFS algorithm, and
(iv) Every ordering generated by LEX-BFS algorithm can also be generated by MCS algorithm and vice versa.