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pro vyhledávání: '"Berman, Leah Wrenn"'
We study the geometric structure of Poncelet $n$-gons from a projective point of view. In particular we present explicit constructions of Poncelet $n$-gons for certain $n$ and derive algebraic characterisations in terms of bracket polynomials. Via th
Externí odkaz:
http://arxiv.org/abs/2408.09225
We study relations between $(n_4)$ incidence configurations and the classical Poncelet Porism. Poncelet's result studies two conics and a sequence of points and lines that inscribes one conic and circumscribes the other. Poncelet's Porism states that
Externí odkaz:
http://arxiv.org/abs/2408.09203
In this note we give a construction proving that the Gray graph, which is the smallest cubic semi-symmetric graph, is a unit-distance graph.
Comment: 7 pages, 5 figures
Comment: 7 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2312.15336
When searching for small 4-configurations of points and lines, polycyclic configurations, in which every symmetry class of points and lines contains the same number of elements, have proved to be quite useful. In this paper we construct and prove the
Externí odkaz:
http://arxiv.org/abs/2309.12992
Autor:
Berman, Leah Wrenn, Koike, Hiroki, Mochan, Elias, Ramos-Rivera, Alejandra, Sparl, Primoz, Wilson, Stephen E.
A graph is edge-transitive if the natural action of its automorphism group on its edge set is transitive. An automorphism of a graph is semiregular if all of the orbits of the subgroup generated by this automorphism have the same length. While the te
Externí odkaz:
http://arxiv.org/abs/2302.00994
The "Gr\"unbaum Incidence Calculus" is the common name of a collection of operations introduced by Branko Gr\"unbaum to produce new $(n_{4})$ configurations from various input configurations. In a previous paper, we generalized two of these operation
Externí odkaz:
http://arxiv.org/abs/2204.11986
Publikováno v:
In Discrete Mathematics April 2024 347(4)
In a series of papers and in his 2009 book on configurations Branko Gr\"unbaum described a sequence of operations to produce new $(n_{4})$ configurations from various input configurations. These operations were later called the "Gr\"unbaum Incidence
Externí odkaz:
http://arxiv.org/abs/2104.00045
In 1976, Loupekine introduced (via Isaacs) a very general way of constructing new snarks from old snarks by cyclically connecting multipoles constructed from smaller snarks. In this paper, we generalize Loupekine's construction to produce a variety o
Externí odkaz:
http://arxiv.org/abs/1707.05294