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Research Article
A Note on the Diameter of a Graph
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- 20 November 2018, pp. 499-501
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The distance d(x, y) between vertices x, y of a graph G is the length of the shortest path from x to y in G. The diameter δ(G) of G is the maximum distance between any pair of vertices in G. i.e. δ(G) = max max d(x, y). In this note we obtain an upper bound
x ε G y ε G
for δ(G) in terms of the numbers of vertices and edges in G. Using this bound it is then shown that for any complement-connected graph G with N vertices
where
is the complement of G.
is the complement of G.Note on Epi in
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- 20 November 2018, pp. 503-504
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Burgess [l] has pointed out that in the categories
and 
(where 
. is the category of Ti. spaces), epi means onto. In this paper, Burgess1 technique will be used to show that epi has a different meaning in and that this meaning reduces to onto when the range is a T1 space.
and 
(where 
. is the category of TBook Reviews: Comptes Rendus Critiques
Exercises in Mathematics, by J. Bass. Academic Press, 1966. xii + 459 pages. $14.75.
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- 01 April 2019, p. 507
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Proceedings. United States - Japan Seminar on Differential and Functional Equations, University of Minnesota, Minneapolis, Minnesota, June 26-30, 1967, edited by William A. Harris Jr. and Yasutaka Sibuya. W.A. Benjamin, Inc., New York, Amsterdam, 1967. 500 pages. $8 50.
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- 01 April 2019, pp. 509-512
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Variétés Différentielles et analytiques, by N. Bourbaki. Hermann, Paris, 1967. 97 pages.
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- 01 April 2019, p. 514
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The theory of splines and their applications, by J.H. Ahlberg, E.N. Nilson and J. L. Walsh. Academic Press, New York, 1967. viii + 284 pages. $13. 50.
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- 01 April 2019, pp. 507-508
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Problèmes d'Algèbre générale, par A. Bigard, M. Crestey and J. Grappy. Dunod, Paris, 1967. viii + 226 pages.
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- 01 April 2019, p. 515
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Other
Statement of Policy of the Canadian Mathematical Bulletin
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- 01 April 2019, p. 526
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Book Reviews: Comptes Rendus Critiques
S. S. Wilks: Collected Papers; Contributions to mathematical statistics, edited by T.W. Anderson. John Wiley and Sons, 1967. 693 pages.
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- 01 April 2019, p. 517
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Other
Solutions
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- 01 April 2019, p. 506
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Book Reviews: Comptes Rendus Critiques
Transactions of the fourth Prague conference on information theory, statistical decision functions, random processes. Academic Press, New York and London, 1967, 725 pages.
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- 01 April 2019, p. 517
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Les fonctions généralisées ou distributions, by M. Bouix. Masson, Paris, 1964. ix + 223 pages.
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- 01 April 2019, p. 515
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Abstracts of Theses
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- 01 April 2019, pp. 520-524
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Book Reviews: Comptes Rendus Critiques
Formulaire pour le Calcul Opérationnel, by V.A. Ditkin and A.P. Prudnikov. Masson, Paris, 1967. 468 pages.
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- 01 April 2019, p. 513
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About vectors, by Banesh Hoffman. Prentice-Hall, 1966.
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- 01 April 2019, pp. 516-517
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Class field theory, by E. Artin and J. Tate (éd.). W.A. Benjamin Inc., New York, 1968. 286 pages. $3. 95 (paper). $9. 50 (cloth).
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- 01 April 2019, p. 509
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Differential und Integralrechnung I, by Hans Grauert and Ingo Lieb. Heidelberger Taschenbücher Nr. 26, Springer-Verlag Berlin-Heidelberg-New York, 1967. x + 200 pages.
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- 01 April 2019, pp. 515-516
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Linear Algebra, 3rd edition (Die Grundlehren der mathematischen Wissenschaften, Vol. 97), by W.H. Greub. Springer-Verlag, New York, Inc. 1967. ix + 434 pages. $9.80 U.S. - Multilinear Algebra (Die Grundlehren der mathematischen Wissenschaften, Vol. 136), by W.H. Greub. Springer-Verlag, New York, Inc. 1967. x + 224 pages. $8.00 U.S.
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- 01 April 2019, pp. 512-513
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Announcement
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- 01 April 2019, p. 525
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Book Reviews: Comptes Rendus Critiques
Darstellungen von Gruppen. Mit Berücksichtigung der Berdürfniese der modernen Physik. Zweite, überarbeitete Auflage. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, by H. Boerner. Band 74, Springer-Verlag, Berlin, Heidelberg, New York, 1967. xiv + 317 pages. DM58, $14.50 U.S.
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- 01 April 2019, pp. 517-518
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