Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-19T01:03:23.195Z Has data issue: false hasContentIssue false
  • English
  • Français

Matchings in Lattice Graphs and Hamming Graphs

Published online by Cambridge University Press:  12 September 2008

Martin Aigner  and
Regina Klimmek
Martin Aigner
Affiliation:
II. Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany
Regina Klimmek
Affiliation:
II. Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we solve the following problem on the lattice graph L(m1,…,mn) and the Hamming graph H(m1,…,mn), generalizing a result of Felzenbaum-Holzman-Kleitman on the n-dimensional cube (all mi = 2): Characterize the vectors (s1.…,sn) such that there exists a maximum matching in L, respectively, H with exactly si edges in the ith direction.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 2 , June 1994 , pp. 157 - 166
Copyright
Copyright © Cambridge University Press 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Felzenbaum, A., Holzman, R. and Kleitman, D. J. (1993) Packing lines in a hypercube. Discrete Math. 117, 107–112.CrossRefGoogle Scholar
[2]Lovász, L. (1979) Combinatorial Problems and Exercises. North-Holland.Google Scholar
[3]Montroll, E. (1964) Lattice Statistics. In: Beckenbach, (ed.) Applied Combinatorial Mathematics, Wiley.Google Scholar
[4]Proceedings of conference in honour of Prof. Erd⋯os’ 80th birthday,Cambridge University Press (1994).Google Scholar