We give a constructive characterization of graphs which are the union of k spanning trees after adding any new edge. This is a generalization of a theorem of Henneberg and Laman who gave the characterization for k = 2. We also give a constructive characterization of graphs which have k edge-disjoint spanning trees after deleting any edge of them.
CITATION STYLE
Frank, A., & Szegő, L. (2001). An extension of a theorem of Henneberg and Laman? In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2081, pp. 145–159). Springer Verlag. https://doi.org/10.1007/3-540-45535-3_12
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