5 papers
Reconstructing a Polyhedron between Polygons in Parallel Slices
Therese Biedl, Pavle Bulatovic, Veronika Irvine +3
Given two -vertex polygons, lying in the -plane at , and lying in the -plane at , a banded surface is a triang…
Quasiperiodic bobbin lace patterns
Veronika Irvine, Therese Biedl, Craig S. Kaplan
Bobbin lace is a fibre art form in which threads are braided together to form a fabric, often with a very detailed and complex design. In traditional practice, each region of the f…
Maximum Matchings and Minimum Blocking Sets in -Graphs
Therese Biedl, Ahmad Biniaz, Veronika Irvine +3
-Graphs graphs are important geometric graphs that have many applications especially in wireless sensor networks. They are equivalent to Delaunay graphs where empty equilatera…
Vertically constrained Motzkin-like paths inspired by bobbin lace
Veronika Irvine, Stephen Melczer, Frank Ruskey
Inspired by a new mathematical model for bobbin lace, this paper considers finite lattice paths formed from the set of step vectors $\se…
Drawing bobbin lace graphs, or, Fundamental cycles for a subclass of periodic graphs
Therese Biedl, Veronika Irvine
In this paper, we study a class of graph drawings that arise from bobbin lace patterns. The drawings are periodic and require a combinatorial embedding with specific properties whi…