WebA graph is NIC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share at most one common end vertex. It is … Web1 de mai. de 2024 · A graph is 1-planar if it can be drawn on a plane so that each edge is crossed by at most one other edge. In this paper, we first give a useful structural theorem …
On (p, 1)-Total Labelling of NIC-Planar Graphs Request …
Web18 de dez. de 2024 · In any drawing we require that vertices, bends, and crossings are pairwise distinct points. A drawing is 1-planar if every edge is crossed at most once. A 1-planar drawing is independent-crossing planar ( IC-planar) if no two pairs of crossing edges share a vertex. A 1-planar drawing is near-independent-crossing planar ( NIC-planar) if … Web16 de jan. de 2024 · A graph is NIC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share at most one common end vertex. NIC-planarity generalizes IC-planarity, which allows a vertex to be incident to at most one crossing edge, and specializes 1-planarity, which only requires at most one … dangers of bodybuilding
A Note on IC-Planar Graphs - uni-passau.de
WebFigure 6: Proof of Lemma 6: If the -nodes representing f and g are unmarked (a), the embedding obtained by a kite flip (b) is NIC-planar. The shaded region necessarily contains further vertices and edges. Likewise, if the -nodes representing f and g are adjacent to a single, common -node (c), the embedding obtained by a kite flip (d) is NIC-planar. - "NIC … Web1 de abr. de 2007 · Abstract. A graph is called 1-planar if it can be drawn in the plane so that each its edge is crossed by at most one other edge. In the paper, we study the existence … WebA graph is NIC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share at most one common end vertex. NIC-planarity generalizes IC-planarity, which allows a vertex to be incident to ... dangers of bottled water