Directed graphs and matrix equations

Juraj Bosák

Mathematica Slovaca (1978)

  • Volume: 28, Issue: 2, page 189-202
  • ISSN: 0139-9918

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Bosák, Juraj. "Directed graphs and matrix equations." Mathematica Slovaca 28.2 (1978): 189-202. <http://eudml.org/doc/31678>.

@article{Bosák1978,
author = {Bosák, Juraj},
journal = {Mathematica Slovaca},
language = {eng},
number = {2},
pages = {189-202},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Directed graphs and matrix equations},
url = {http://eudml.org/doc/31678},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Bosák, Juraj
TI - Directed graphs and matrix equations
JO - Mathematica Slovaca
PY - 1978
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 28
IS - 2
SP - 189
EP - 202
LA - eng
UR - http://eudml.org/doc/31678
ER -

References

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  1. BERGE, C, The theory of graphs, Methuen, London 1962. (1962) Zbl0097.38903
  2. BOSÁK J., Gгaphs with unique walks, trails or paths of given lengths, In: Theory and Applications of Graphs in America's Bicentennial Year, Proc. Intern. Conf. Theory and Applic. Graphs (ed. by Y. Alavi and D. R. Lick), to appear. 
  3. HARARY F., Graph Theory, Addison-Wesley, Reading, Massachusets 1969. (1969) Zbl0196.27202MR0256911
  4. HEAP B. R., LYNN M. S., The structure of powers of nonnegative matrices I, II, J. SIAM Appl. Math., 14, 1966, 610-639, 762-777. (1966) 
  5. HOFFMAN A. J., An equation in matrices, research problem 2-11, J. Combinatorial Theory, 2, 1967, 393. (1967) 
  6. LAM C. W. H., On rational circulants satisfying A 2 = d I + λ J , Linear Algebra and Appl., 12, 1975, 139-150. (1975) MR0382023
  7. PLESNÍK J., ZNÁM Š., Strongly geodetic directed graphs, Acta Fac. Refum Natur. Univ. Comenian. Math., 29, 1974, 29-34. (1974) Zbl0291.05106MR0363991
  8. RYSER H. J., A generalization of the matrix equation A 2 = J , Linear Algebra and Appl., 3, 1970, 451-460. (1970) MR0269674
  9. SCHWARZ Š., A semigroup treatment of some theorems on non-negative rnatrices, Czechoslovak Math. J., 15 (90), 1965, 212-229. (1965) MR0175919
  10. SCHWARZ Š., On the semigroup of binary relations on a finite set, Czechoslovak Math. J., 20 (95), 1970, 632-679. (1970) Zbl0228.20034MR0296190
  11. WILSON R. J., On the adjacency matrix of a graph, In: Combinatorics, Proc. Conf. Oxfoгd 1972. The Institute of Mathematics and Its Applications, Essex 1972, 295-321. (1972) MR0342400

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