Geodesic
Directed graphs and matrix equations
Mathematica slovaca, Tome 28 (1978) no. 2, pp. 189-202
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 05C20, 05C35, 15A24, 15A36 
@article{MASLO_1978_28_2_a9,
     author = {Bos\'ak, Juraj},
     title = {Directed graphs and matrix equations},
     journal = {Mathematica slovaca},
     pages = {189--202},
     year = {1978},
     volume = {28},
     number = {2},
     mrnumber = {526858},
     zbl = {0378.05034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1978_28_2_a9/}
}
TY  - JOUR
AU  - Bosák, Juraj
TI  - Directed graphs and matrix equations
JO  - Mathematica slovaca
PY  - 1978
SP  - 189
EP  - 202
VL  - 28
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MASLO_1978_28_2_a9/
LA  - en
ID  - MASLO_1978_28_2_a9
ER  - 
%0 Journal Article
%A Bosák, Juraj
%T Directed graphs and matrix equations
%J Mathematica slovaca
%D 1978
%P 189-202
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/MASLO_1978_28_2_a9/
%G en
%F MASLO_1978_28_2_a9
Bosák, Juraj. Directed graphs and matrix equations. Mathematica slovaca, Tome 28 (1978) no. 2, pp. 189-202. http://geodesic.mathdoc.fr/item/MASLO_1978_28_2_a9/

[1] BERGE, C: The theory of graphs. Methuen, London 1962. | Zbl

[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. | MR | Zbl

[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.

[5] HOFFMAN A. J.: An equation in matrices, research problem 2-11. J. Combinatorial Theory, 2, 1967, 393.

[6] LAM C. W. H.: On rational circulants satisfying $A^2 = dI + \lambda J$. Linear Algebra and Appl., 12, 1975, 139-150. | MR

[7] PLESNÍK J., ZNÁM Š.: Strongly geodetic directed graphs. Acta Fac. Refum Natur. Univ. Comenian. Math., 29, 1974, 29-34. | MR | Zbl

[8] RYSER H. J.: A generalization of the matrix equation $A^2 = J$. Linear Algebra and Appl., 3, 1970, 451-460. | MR

[9] SCHWARZ Š.: A semigroup treatment of some theorems on non-negative rnatrices. Czechoslovak Math. J., 15 (90), 1965, 212-229. | MR

[10] SCHWARZ Š.: On the semigroup of binary relations on a finite set. Czechoslovak Math. J., 20 (95), 1970, 632-679. | MR | Zbl

[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. | MR