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pro vyhledávání: '"Camp, Heidi Van den"'
In this article we investigate the question which local symmetry preserving operations can not only preserve, but also increase the symmetry of a polyhedral map. Often operations that can increase symmetry, can nevertheless not do so for polyhedral m
Externí odkaz:
http://arxiv.org/abs/2406.17579
Autor:
Camp, Heidi Van den, McKay, Brendan D.
Lopsp-operations are operations on maps that are applied locally and are guaranteed to preserve all the orientation-preserving symmetries of maps. Well-known examples of such operations are dual, ambo, truncation, and leapfrog. They are described by
Externí odkaz:
http://arxiv.org/abs/2402.10676
For each $c\ge 1$ we prove tight lower bounds on face sizes that must be present to allow $1$- or $2$-cuts in simple duals of $c$-connected maps. Using these bounds, we determine the smallest genus on which a $c$-connected map can have a simple dual
Externí odkaz:
http://arxiv.org/abs/2309.17121
Autor:
Camp, Heidi Van den
In 2017, Brinkmann, Goetschalckx and Schein introduced a very general way of describing operations on embedded graphs that preserve all orientation-preserving symmetries of the graph. This description includes all well-known operations such as Dual,
Externí odkaz:
http://arxiv.org/abs/2301.06913
Autor:
Brinkmann, Gunnar, Camp, Heidi Van den
We prove that local operations that preserve all symmetries, as e.g. dual, truncation, ambo, or join,, as well as local operations that preserve all symmetries except orientation reversing ones, as e.g. gyro or snub, preserve the polyhedrality of sim
Externí odkaz:
http://arxiv.org/abs/2110.06047