This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
A. Aho, M. Garey, and J. Ullman. The transitive reduction of a directed graph. SIAM J. Computing, 1:131–137, 1972.
M. Behzad. A criterion for the planarity of a total graph. Proc. Cambridge Philos. Soc., 63:679–681, 1967.
F. Escalante, L. Montejano, and T. Rojano. Characterization of n-path graphs and of graphs having nth root. J. Combin. Theory B, 16:282–289, 1974.
H. Fleischner. The square of every two-connected graph is Hamiltonian. J. Combin. Theory B, 16:29–34, 1974.
M. R. Garey and D. S. Johnson. Computers and Intractability — A guide to the Theory of NP-Completeness. Freeman, New York, 1979.
F. Gavril. The intersection graphs of subtrees in trees are exactly the chordal graphs. J. Combin. Theory B, 16:47–56, 1974.
D. P. Geller. The square root of a digraph. J. Combin. Theory, 5:320–321, 1968.
M. C. Golumbic. Algorithmic Graph Theory and Perfect Graphs. Academic Press, New York, 1980.
F. Harary. Graph Theory. Addison-Wesley, Massachusetts, 1972.
F. Harary, R. M. Karp, and W. T. Tutte. A criterion for planarity of the square of a graph. J. Combin. Theory, 2:395–405, 1967.
F. Harary and A. Schwenk. Trees with hamiltonian square. Mathematika, 18:138–140, 1971.
G. Hendry and W. Vogler. The square of a connected S(K 1,3)-free graph is vertex pancyclic. J. Graph Theory, 9:535–537, 1985.
J. E. Hopcroft and R. E. Tarjan. Dividing a graph into triconnected components. SIAM J. Computing, 2:135–158, 1973.
M. Matthews and D. Summer. Hamiltonina results in S(K 1,3)-free graphs. J. Graph Theory, 8:139–146, 1984.
A. Mukhopadhyay. The square root of a graph. J. Combin. Theory, 2:290–295, 1967.
I. C. Ross and F. Harary. The square of a tree. Bell System Tech. J., 39:641–647, 1960.
M. Sekanina. On an ordering of the set of vertices of a connected graph. Technical Report No. 412, Publ. Fac. Sci. Univ. Brno, 1960.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lin, YL., Skiena, S.S. (1991). Algorithms for square roots of graphs. In: Hsu, WL., Lee, R.C.T. (eds) ISA'91 Algorithms. ISA 1991. Lecture Notes in Computer Science, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54945-5_44
Download citation
DOI: https://doi.org/10.1007/3-540-54945-5_44
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54945-1
Online ISBN: 978-3-540-46600-0
eBook Packages: Springer Book Archive