Abstract
For a graph G=(V, E) its line graph L(G) has the node set E and two nodes of L(G) are adjacent if the corresponding edges of G have a common endpoint. The problem of finding G for a given L was already optimally solved by Lehot[7] and Roussopoulos[11]. Here we present a new dynamic solution to this problem, where we can add or delete a node v in L(G) in time proportional to the size of its adjacency list.
This author was partially supported by the Swiss National Science Foundation
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© 1995 Springer-Verlag Berlin Heidelberg
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Degiorgi, D.G., Simon, K. (1995). A dynamic algorithm for line graph recognition. In: Nagl, M. (eds) Graph-Theoretic Concepts in Computer Science. WG 1995. Lecture Notes in Computer Science, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60618-1_64
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DOI: https://doi.org/10.1007/3-540-60618-1_64
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