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Maria Hasse, Lothar Michler (1966)
Czechoslovak Mathematical Journal
Vladimír Müller, Jaroslav Nešetřil, Jan Pelant (1972)
Commentationes Mathematicae Universitatis Carolinae
Paz Morillo Bosch, Miguel Angel Fiol Mora (1986)
Stochastica
This paper studies some diameter-related properties of the 3-step circulant digraphs with set of vertices V≡ZN and steps (± a,b). More precisely, it concentrates upon maximizing their order N for any fixed value of their diameter k. In the proposed geometrical approach, each digraph is fully represented by a T-shape tile which tessellates periodically the plane. The study of these tiles leads to the optimal solutions.
Xueliang Li, Ivan Gutman (2000)
Kragujevac Journal of Mathematics
Nets Hawk Katz (2006)
Collectanea Mathematica
In this paper, we rule out the possibility that a certain method of proof in the sums differences conjecture can settle the Kakeya Conjecture.
Ľudovít Niepel, Pavel Tomasta (1981)
Czechoslovak Mathematical Journal
Martin Juvan, Jože Marinček, Bojan Mohar (1997)
Mathematica Slovaca
D. Fronček (1991)
Applicationes Mathematicae
Bohdan Zelinka (1982)
Mathematica Slovaca
Goldberg, Mark K., Magdon-Ismail, Malik (2011)
The Electronic Journal of Combinatorics [electronic only]
S.A. Choudum, S. Lavanya (2008)
Discussiones Mathematicae Graph Theory
We inductively describe an embedding of a complete ternary tree Tₕ of height h into a hypercube Q of dimension at most ⎡(1.6)h⎤+1 with load 1, dilation 2, node congestion 2 and edge congestion 2. This is an improvement over the known embedding of Tₕ into Q. And it is very close to a conjectured embedding of Havel [3] which states that there exists an embedding of Tₕ into its optimal hypercube with load 1 and dilation 2. The optimal hypercube has dimension ⎡(log₂3)h⎤ ( = ⎡(1.585)h⎤) or ⎡(log₂3)h⎤+1....
Ralph J. Faudree, Cecil C. Rousseau, Richard H. Schelp, Seymour Schuster (1981)
Czechoslovak Mathematical Journal
Bohdan Zelinka (1972)
Časopis pro pěstování matematiky
Ladislav Nebeský (1988)
Czechoslovak Mathematical Journal
Ivan Havel, Petr Liebl (1973)
Časopis pro pěstování matematiky
Bohdan Zelinka (1976)
Czechoslovak Mathematical Journal
Bohdan Zelinka (1979)
Časopis pro pěstování matematiky
Kaufmann, Michael, Wiese, Roland (2002)
Journal of Graph Algorithms and Applications
Nikolaos Askitas (1996)
Manuscripta mathematica
Crisp, John, Wiest, Bert (2004)
Algebraic & Geometric Topology