Abstract
Necessary and sufficient conditions are given for the existence of graphs and bipartite graphs with degrees in prescribed intervals.
Dedicated to Adalbert Kerber on the occasion of his 60th birthday.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
EG60] P. Erdös and T. Gallai, Graphs with given degree of vertices (Hungarian).
Mat. Lapok, 11:264–274, 1960.
Ful59] D. R. Fulkerson, A Network-Flow Feasibility Theorem and Combinatorial
Applications. Canadian J. Math., 11: 4404–451, 1959.
D. Gale, A Theorem on Flows in Networks. Pacific J. Math., 7: 10734–1082, 1957.
M. Koren, Graphs with Degrees from Prescribed Intervals. Discrete Math., 15: 2534–261, 1976.
M. Krause (=M. Schocker), A simple proof of the GaleRyser theorem. American Mathematical Monthly, 103, no. 4: 3354–337, 1996.
H.J. Ryser, Combinatorial properties of matrices of zeros and ones. Canadian J. Math., 9: 3714–377, 1957.
M. Schocker, Uber Graphen mit vorgegebenen Valenzen. Abh. des Math. Sem. der Univ. Hamburg, 69: 2654–270, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schocker, M. (2001). On Graphs with Degrees in Prescribed Intervals. In: Betten, A., Kohnert, A., Laue, R., Wassermann, A. (eds) Algebraic Combinatorics and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59448-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-59448-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41110-9
Online ISBN: 978-3-642-59448-9
eBook Packages: Springer Book Archive