Abstract
Ear decomposition of a graph has been extensively studied in relation to graph connectivity. In this paper, a connection of ear decomposition to graph embeddings is exhibited. It is shown that constructing a maximumpaired ear decomposition of a graph and constructing a maximum-genus embedding of the graph are O (e log n)-time equivalent. This gives a polynomial time algorithm for constructing a maximum-paired ear decomposition.
Supported in part by the National Science Foundation under Grant CCR-9110824.
Supported in part by the Engineering Excellence Award from Texas A&M University.
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© 1994 Springer-Verlag Berlin Heidelberg
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Chen, J., Kanchi, S.P. (1994). Graph ear decompositions and graph embeddings. In: van Leeuwen, J. (eds) Graph-Theoretic Concepts in Computer Science. WG 1993. Lecture Notes in Computer Science, vol 790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57899-4_67
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DOI: https://doi.org/10.1007/3-540-57899-4_67
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