An even triangulation G on the torus has a spanning bipartite quadrangulation if and only if G does not have K7 as a subgraph. Since any triangulation of the torus with K7 as a subgraph has edge width exactly 3, Theorem 3 shows that N = 4 suffices in Theorem 2, and it is best possible.
Sep 15, 2018 · A triangulation (resp., a quadrangulation) on a surface is a map of a loopless graph (possibly with multiple edges) on with each face ...
In this paper, we provide a necessary and sufficient condition for all triangulations of P to have a spanning bipartite quadrangulation.
Oct 10, 2022 · Abstract:We completely characterize triangulations of the projective plane that have a spanning bipartite quadrangulation subgraph.
Missing: even | Show results with:even
In this paper, we prove that an even triangulation on the torus admits a spanning bipartite quadrangulation if and only if does not have as a subgraph, and ...
Introduction. Let \Sigma be a surface, that is, a compact connected two- dimensional manifold without boundary. Specifically, P denotes the projective plane ...
Abstract A triangulation (resp.,a quadrangulation) on a surfaceis a map of a loopless graph (possibly with multiple edges) onwith each face.
Apr 13, 2024 · We completely characterize triangulations of the projective plane that have a spanning bipartite quadrangulation subgraph. This is an ...
Aug 17, 2018 · Eulerian triangulation of the projective plane is the face subdivision of an even embedding facial cycle is even length.
ARTICLE. Spanning bipartite quadrangulations of even triangulations. Atsuhiro Nakamoto, Kenta Noguchi, Kenta Ozeki · Details · Contributors · Fields of science ...