Skip to main content
SpringerLink
Log in

Extension of partial diagonals of matrices I

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Brualdi, R. A.: Permanent of the product of doubly stochastic matrices, Proc. Cambridge Phil. Soc.62 (1966), 643–648.

    Google Scholar 

  2. Edmonds, J.: Systems of distinct representatives and linear algebra, J. Res. Nat. Bur. Standards71B (1967), 241–245.

    Google Scholar 

  3. Edmonds, J. andD. R. Fulkerson: Transversals and matroid partition, J. Res. Nat. Bur. Standards69B (1965), 147–153.

    Google Scholar 

  4. Frobenius, G.: Über Matrizen aus nicht negativen Elementen, Sitz.-Ber. Preuss. Akad. Wiss.1912, 456–477.

  5. Hall, P.: On representatives of subsets, J. London Math. Soc.10 (1935), 26–30.

    Google Scholar 

  6. König, D.: Graphok és matrixok, Mat. Fiz. Lapok38 (1931), 116–119. Hungarian with German summary.

    Google Scholar 

  7. König, D.: Über trennende Knotenpunkte in Graphen (nebst Anwendungen auf Determinanten und Matrizen), Acta Lit. Sci. Sect. Sci. Math. (Szeged)6 (1932–1934), 155–179.

    Google Scholar 

  8. Perfeot, H.: Symmetrized form of P. Hall's theorem on distinct representatives, Quart. J. Math. (Oxford) (2)17 (1966), 303–306.

    Google Scholar 

  9. Ryser, H. J.: Combinatorial Mathematics, Carus Math. Monographs no. 14 (1963), Chapter 7.

Download references

Author information

Author notes

  1. Richard A. Brualdi

    Present address: Department of Mathematics, University of Wisconsin, 53706, Madison, WI, USA

  2. Hazel Perfect

    Present address: Department of Pure Mathematics, University of Sheffield, S3 7RH, Sheffield, England

Authors and Affiliations

    Authors
    1. Richard A. Brualdi
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Hazel Perfect
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Research supported by a NATO postdoctoral fellowship and National Science Foundation Grant No. GP-9564.

    The first two of these are treated in Part I and the third in Part II. (Part II will appear in a later issue of this Journal.) The bibliography serves Parts I and II.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Brualdi, R.A., Perfect, H. Extension of partial diagonals of matrices I. Monatshefte für Mathematik 75, 385–397 (1971). https://doi.org/10.1007/BF01297007

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01297007

    Search

    Navigation