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DM
2010
13 years 10 months ago
2010
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
DM
2010
13 years 10 months ago
2010
An infinite word is S-automatic if, for all n 0, its (n+1)st letter is the output of a deterministic automaton fed with the representation of n in the numeration system S. In this...
DM
2010
13 years 4 months ago
2010
An octagon quadrangle is the graph consisting of an 8-cycle (x1, x2, ..., x8) with two additional chords: the edges {x1, x4} and {x5, x8}. An octagon quadrangle system of order v ...
DM
2010
13 years 10 months ago
2010
In this paper, we first prove some general results on the number of fixed points of collineations of finite partial geometries, and on the number of absolute points of dualities o...
DM
2010
13 years 10 months ago
2010
Abstract. We produce an explicit parameterization of well-rounded sublattices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameteriz...