منابع مشابه
Metrically Transitive Point
denote a denumerable set of point transformations in w-dîmensional euclidean space, the transformations of which leave a certain ^-dimensional (p^n) region R (regionsopen, connected point set) of this space invariant. The case where R is the entire w-dimensional space is not excluded. The set of transformations (1) will be said to be metrically transitive with respect to R, if the complement se...
متن کاملNote on Transitive Transformations.
I Bridges, C. B., Science N. S., 54, 252-254 (1921). 2 Schrader, F., and Sturtevant, A. H., Am. Nat., 57, 379-381 (1923). 3 Bridges, C. B., Ibid., 59, 127-137 (1925). 4 Bridges, C. B., Proc. Nat. Acad. Sci., 11, 706-710 (1925). 5 Bridges, C. B., Science N. S., 72, 405-406 (1930). 6 Schrader, F., and Hughes-Schrader, S., Quart. Rev. Biol., 6, 411-438 (1931). 7 Whiting, P. W., Jour. Hered., 26, 2...
متن کاملA note on arc-transitive circulant digraphs
We prove that, for a positive integer n and subgroup H of automorphisms of a cyclic group Z of order n, there is up to isomorphism a unique connected circulant digraph based on Z admitting an arc-transitive action of ZzH. We refine the Kovács–Li classification of arc-transitive circulants to determine those digraphs with automorphism group larger than ZzH. As an application we construct, for ea...
متن کاملA Note on Tangentially Transitive Affine Planes
Let $1 be a finite affine translation plane. If 21 contains a subplane, collineation group pair (2I0, A) such that: * A leaves each point of 2t0 fixed and acts transitively on the points of / \ { / n 2I0}, for / a line of 21 with / n 2l0 a line of 2l0, then 21 is said to be tangentially transitive with respect to 2l0. Jha in his thesis [3] has proved that if 21 is tangentially transitive with r...
متن کاملA Note on Coloring Vertex-transitive Graphs
We prove bounds on the chromatic number χ of a vertex-transitive graph in terms of its clique number ω and maximum degree ∆. We conjecture that every vertex-transitive graph satisfies χ 6 max{ω, ⌈ 5∆+3 6 ⌉ }, and we prove results supporting this conjecture. Finally, for vertex-transitive graphs with ∆ > 13 we prove the Borodin–Kostochka conjecture, i.e., χ 6 max{ω,∆− 1}.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1933
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.19.4.453