Geometric intersection graphs form an intriguing class of structures in which vertices represent geometric objects – such as line segments, discs, or curves – and an edge is established between two ...
Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the ...
Transactions of the American Mathematical Society, Vol. 367, No. 4 (APRIL 2015), pp. 2509-2526 (18 pages) In a previous paper, we applied Alexandrov geometry methods to study infinite semiplanar ...
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