On p 1 -total labelling of nic-planar graphs
Web1 de dez. de 2012 · As a consequence, we generalize and improve some results obtained in [F. Bazzaro, M. Montassier, A. Raspaud, (d, 1)-Total labelling of planar graphs with large … 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 …
On p 1 -total labelling of nic-planar graphs
Did you know?
WebWe characterize embeddings of maximal NIC-planar graphs in terms of generalized planar dual graphs. The characterization is used to derive tight bounds on the density of maximal NIC-planar graphs which ranges between 3:2(n 2) and 3:6(n 2). Further, we show that optimal NIC-planar graphs with 3:6(n 2) edges have a unique embedding and can WebWe study the following classes of beyond-planar graphs: 1-planar, IC-planar, and NIC-planar graphs. These are the graphs that admit a 1-planar, IC-planar, and NIC-planar drawing, respectively. A drawing of a graph is 1-planar if every edge is crossed at most once. A 1-planar drawing is IC-planar if no two pairs of crossing edges share a vertex ...
WebWe study the following classes of beyond-planar graphs: 1-planar, IC-planar, and NIC-planar graphs. These are the graphs that admit a 1-planar, IC-planar, and NIC-planar drawing, … WebThe blue social bookmark and publication sharing system.
Web1 de mar. de 2012 · Equitable Coloring and Equitable Choosability of Graphs with Small Maximum Average Degree. Aijun Dong, Xin Zhang. Mathematics. Discuss. Math. Graph Theory. 2024. TLDR. This paper proves that if G is a graph such that mad (G) < 3, then G is equitably k-colorable and equitablyk- choosable where k ≥ max {Δ (G), 4}. Webbounds on the density of NIC-planar graphs are 18 5 (n 2) [15] and 16 5 (n 2) [3,11] and both bounds are known to be tight for in nitely many values of n. Outer 1-planar graphs are another subclass of 1-planar graphs. They must admit a. 2 C. Bachmaier, F. J. Brandenburg, K. Hanauer
Web(k,p)-Planar Graphs A Generalization of Planar Representations for Cluster Graphs Timothy W. Randolph Professor William J. Lenhart, Advisor A thesis submitted in partial ful llment of the requirements for the
Web1 de out. de 2024 · A graph is 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. The family of 1-planar graphs represents a natural extension of planar graphs, and it is arguably the most investigated family of beyond-planar graphs, as witnessed by the annotated bibliography of Kobourov et al. []; see also [].In particular, … lyle v warner brothers television productionsWeb11 de dez. de 2024 · Recognizing 1-planar graphs is NP-complete in general , , and remains NP-complete even for graphs of bounded bandwidth, pathwidth, or treewidth , if an edge … king township ontario canadaWeb16 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 … lyle v warner brothersWebWe study the following classes of beyond-planar graphs: 1-planar, IC-planar, and NIC-planar graphs. These are the graphs that admit a 1-planar, IC-planar, and NIC-planar drawing, respectively. A drawing of a graph is 1-planar if every edge is crossed at most once. A 1-planar drawing is IC-planar if no two pairs of crossing edges share a vertex ... king township librariesWebThe purpose of this article is to study (p,1)-total labelling of NIC-planar graphs, especially the bounds for the (p,1)-total labelling number λT p as a function of the maximum degree … lyle w350 acousticWebDOI: 10.1016/j.dam.2024.08.015 Corpus ID: 13145987; NIC-planar graphs @article{Bachmaier2024NICplanarG, title={NIC-planar graphs}, author={Christian … lyle w445 acousticWeb1 de set. de 2024 · Further, we show that optimal NIC-planar graphs with 3.6(n-2) edges have a unique embedding and can be recognized in linear time, whereas the recognition … lyle\\u0027s tv \\u0026 appliance elkhorn wi