We are formalizing the algorithm for recognizing chordal graphs by lexicographic breadth-first search as presented in [13, Section 3 of Chapter 4, pp. 81-84]. Then we follow with a formalization of another algorithm serving the same end but based on maximum cardinality search as presented by Tarjan and Yannakakis [25].This work is a part of the MSc work of the first author under supervision of the second author. We would like to thank one of the anonymous reviewers for very useful suggestions.
@article{bwmeta1.element.doi-10_2478_v10037-006-0022-z, author = {Broderick Arneson and Piotr Rudnicki}, title = { Recognizing Chordal Graphs: Lex BFS and MCS 1 }, journal = {Formalized Mathematics}, volume = {14}, year = {2006}, pages = {187-206}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0022-z} }
Broderick Arneson; Piotr Rudnicki. Recognizing Chordal Graphs: Lex BFS and MCS 1 . Formalized Mathematics, Tome 14 (2006) pp. 187-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0022-z/
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