Abstract
Chordal graphs are important in algorithmic graph theory. Chordal digraphs are a digraph analogue of chordal graphs and have been a subject of active studies recently. In this paper we introduce the notion of semi-strict chordal digraphs which form a class strictly between chordal digraphs and chordal graphs. We characterize semi-strict chordal digraphs by forbidden subdigraphs within the cases of locally semicomplete digraphs and weakly quasi-transitive digraphs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bang-Jensen, J., Huang, J.: Quasi-transitive digraphs. J. Graph Theory 20, 141–161 (1995)
Golumbic, M.C.: Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York (1980)
Hell, P., Hernández-Cruz, C.: Strict chordal and strict split digraphs. Discrete Appl. Math. 216, 609–617 (2017)
Huang, J., Ye, Y.Y.: Chordality of locally semicomplete and weakly quasi-transitive digraphs. Discret. Math. 344, 112362 (2021)
Meister, D., Telle, J.A.: Chordal digraphs. Theoret. Comput. Sci. 463, 73–83 (2012)
Haskins, L., Rose, D.J.: Toward characterization of perfect elimination digraphs. SIAM J. Comput. 2, 217–224 (1973)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Huang, J., Ye, Y.Y. (2022). Semi-strict Chordal Digraphs. In: Zhang, Y., Miao, D., Möhring, R. (eds) Computing and Combinatorics. COCOON 2022. Lecture Notes in Computer Science, vol 13595. Springer, Cham. https://doi.org/10.1007/978-3-031-22105-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-031-22105-7_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-22104-0
Online ISBN: 978-3-031-22105-7
eBook Packages: Computer ScienceComputer Science (R0)