Contact graphs of ball packings
A Glazyrin - Journal of Combinatorial Theory, Series B, 2020 - Elsevier
A contact graph of a packing of closed balls is a graph with balls as vertices and pairs of
tangent balls as edges. We prove that the average degree of the contact graph of a packing …
tangent balls as edges. We prove that the average degree of the contact graph of a packing …
The Problem of Thirteen Balls
H Maehara, H Martini - Circles, Spheres and Spherical Geometry, 2024 - Springer
How many unit balls can touch one and the same unit ball simultaneously?(We assume that
unit balls cannot overlap each other.) This problem is known as the problem of thirteen balls …
unit balls cannot overlap each other.) This problem is known as the problem of thirteen balls …
Kissing number in non-Euclidean spaces of constant sectional curvature
This paper provides upper and lower bounds on the kissing number of congruent radius $ r>
0$ spheres in hyperbolic $\mathbb {H}^ n $ and spherical $\mathbb {S}^ n $ spaces, for …
0$ spheres in hyperbolic $\mathbb {H}^ n $ and spherical $\mathbb {S}^ n $ spaces, for …