Exploració per tema "Classificació AMS::52 Convex and discrete geometry::52A General convexity"
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Exponentially small asymptotic formulas for the length spectrum in some billiard tables
(2016-04-05)
Article
Accés obertLet q = 3 be a period. There are at least two (1, q)-periodic trajectories inside any smooth strictly convex billiard table. We quantify the chaotic dynamics of axisymmetric billiard tables close to their boundaries by ... -
Geometric tree graphs of points in convex position
(1997)
Article
Accés obertGiven a set $P$ of points in the plane, the geometric tree graph of $P$ is defined as the graph $T(P)$ whose vertices are non-crossing rectilinear spanning trees of $P$, and where two trees $T_1$ and $T_2$ are adjacent ... -
On geodetic sets formed by boundary vertices
(2003)
Article
Accés obertLet G be a finite simple connected graph. A vertex v is a boundary vertex of G if there exists a vertex u such that no neighbor of v is further away from u than v. We obtain a number of properties involving different types ...