On p 1 -total labelling of nic-planar graphs
Web20 de abr. de 2024 · The crossing number of a graph G, denoted by cr ( G ), is the minimum value of cr ( D )’s among all drawings D of G. A drawing D of a graph is called 1- planar if each edge in D is crossed at most once. If a graph has a 1-planar drawing, then it is called 1- planar. The notion of 1-planarity was introduced in 1965 by Ringel [ 13 ], and since ... 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 at most one crossing edge, and specializes 1-planarity, which only requires at most one crossing per …
On p 1 -total labelling of nic-planar graphs
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Web16 de jan. de 2024 · Semantic Scholar extracted view of "NIC-planar graphs" by Christian Bachmaier et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 210,841,548 papers from all fields of science. Search. Sign In Create Free Account. 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 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 … Web1 de mar. de 2016 · We 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 …
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 … Web26 de jul. de 2024 · It is shown that there are infinitely maximal IC-planar graphs with n vertices and 3n-5 edges and thereby prove a tight lower bound on the density of this …
WebAbstract. A 1-planar graph is a graph that can be drawn in the Euclidean plane such that each edge crosses at most one edge. An independent crossing (IC)-planar graph is a 1-planar graph satisfying the condition that two pairs of crossing edges have no common end-vertices. It is shown in this paper that every IC-planar graph is 6-choosable.
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}. dianne williams echucaWebDOI: 10.1016/j.dam.2024.08.015 Corpus ID: 13145987; NIC-planar graphs @article{Bachmaier2024NICplanarG, title={NIC-planar graphs}, author={Christian … citibank citibank loginWeb(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 citibank citibank credit card paymentWeb16 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 … citibank citibank online loginWeb15 de jul. de 2024 · In this section, we always assume that G has a good drawing so that: (1) its NIC-planarity is preserved; (2) with the minimum number of crossings. A drawing … dianne williams-cox tallahasseeWeb11 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 … citibank citimanager website dodWebDOI: 10.1016/j.dam.2024.08.015 Corpus ID: 13145987; NIC-planar graphs @article{Bachmaier2024NICplanarG, title={NIC-planar graphs}, author={Christian Bachmaier and Franz-Josef Brandenburg and Kathrin Hanauer and Daniel Neuwirth and Josef Reislhuber}, journal={Discret. citibank citibusiness online customer service