On a generalization of perfect b -matching

Ľubica Šándorová; Marián Trenkler

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 4, page 380-384
  • ISSN: 0862-7959

Abstract

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The paper is concerned with the existence of non-negative or positive solutions to A f = β , where A is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.

How to cite

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Šándorová, Ľubica, and Trenkler, Marián. "On a generalization of perfect $b$-matching." Mathematica Bohemica 116.4 (1991): 380-384. <http://eudml.org/doc/29186>.

@article{Šándorová1991,
abstract = {The paper is concerned with the existence of non-negative or positive solutions to $Af=\beta $, where $A$ is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.},
author = {Šándorová, Ľubica, Trenkler, Marián},
journal = {Mathematica Bohemica},
keywords = {perfect $b$-matching; beta-non-negative and beta-positive graphs; systems of linear equations; perfect b-matching; beta-non-negative and beta-positive graphs; systems of linear equations},
language = {eng},
number = {4},
pages = {380-384},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a generalization of perfect $b$-matching},
url = {http://eudml.org/doc/29186},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Šándorová, Ľubica
AU - Trenkler, Marián
TI - On a generalization of perfect $b$-matching
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 4
SP - 380
EP - 384
AB - The paper is concerned with the existence of non-negative or positive solutions to $Af=\beta $, where $A$ is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.
LA - eng
KW - perfect $b$-matching; beta-non-negative and beta-positive graphs; systems of linear equations; perfect b-matching; beta-non-negative and beta-positive graphs; systems of linear equations
UR - http://eudml.org/doc/29186
ER -

References

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  1. C. Berge, 10.1016/0012-365X(78)90108-5, Discrete Math. 23 (1978), 91 - 95. (1978) Zbl0392.05051MR0523404DOI10.1016/0012-365X(78)90108-5
  2. S. Jezný M. Trenkler, Characterization of Magic Graphs, Czech. Math. J. 33 (1983), 435-438. (1983) MR0718926
  3. R. H. Jeurissen, 10.1016/0095-8956(81)90047-2, J. Comb. Theory B 30 (1981), 290-301. (1981) Zbl0409.05042MR0624546DOI10.1016/0095-8956(81)90047-2
  4. B. Grünbaum, Convex Polytopes, Interscience, London 1967. (1967) MR0226496
  5. L. Lovász M. D. Plummer, Matching Theory, Akadémiai kiadó, Budapest 1986. (1986) MR0859549
  6. Ľ. Šándorová M. Trenkler, On a Generalization of Magic Graphs, Proc. of the 7th Hungarian Colloquium on Combinatorics, North Holland, 1988, 447-452. (1988) MR1221584
  7. B. M. Stewart, 10.4153/CJM-1966-104-7, Canad. J. Math. 18 (1966), 1031-1059. (1966) Zbl0149.21401MR0197358DOI10.4153/CJM-1966-104-7

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