A 1-planar graph G is said to be optimal if it satisfies the equality |E(G)| = 4|V (G)| 8. (Recently, Suzuki has discussed re-embeddability of optimal 1-planar graphs in (11).) It is also known that every optimal 1-planar graph G is obtained by adding a pair of crossing ...
1-Planar GraphCombinatorial ProblemThe bondage number of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph a domination number greater than the domination number of G. In this paper, we prove that for a 1-planar graph G....
A planar graphis a graph that can be drawn on a plane in such a way that no edges cross each other, and this drawing is a plane graph. For example, in Figure 1, the first graph is a complete graph of order 4, denoted by K4, which is planar graph. The second graph is an embedd...
A proper coloring of a graph is odd if every non-isolated vertex has some color that appears an odd number of times on its neighborhood. This notion was recently introduced by Petruševski and Škrekovski, who proved that every planar graph admits an odd 9-coloring; they also conjecture...
A graph is outer 1-planar (o1p) if it can be drawn in the plane such that all vertices are in the outer face and each edge is crossed at most once. o1p graphs generalize outerplanar graphs, which can be recognized in linear time, and specialize 1-planar graphs, whose recognition is...
1、Planar Graphs,2,2020/9/4,College of Computer Science & Technology, BUPT,Planar Graphs 平面图,A graph is called planar if it can be drawn in the plane in such a way that no two edges cross. Example of a planar graph: The clique on 4 nodes.,3,2020/9/4,College of Computer ...
Saito [1] modified the argument to show that the problem remains NP complete even if the input is restricted to cubic bipartite planar graphs. In particular, V. Chvatal and A. Wigderson showed independently that the problem of determining whether a maximal planar graph is hamiltonian is NP-...
Plane and Planar graph A graph is said to be embedded in a surface S when it is drawn on S so that no two edges intersect. As noted in Chapter 1, we shall use “points and lines” for abstract graphs, “vertices and edges” for geometric graphs (embedded in some surface). A graph...
Triplanar is a method of generating UVs and sampling a texture by projecting in world space. The input Texture is sampled 3 times, once in each of the world x, y and z axises, and the resulting information is planar projected onto the model, blended by the normal, or surface angle. ...
WorldRender.SpotLightShadowmapResolution设定点光源阴影分辨率(Uint32)WorldRender.LightTileCsPathEnable开/关 光路追踪(注意这里是基于RTGI,也就是实时全局光照的光路追踪,不是光线追踪)(Boolean)WorldRender.PlanarReflectionEnable开/关 平面反射(Boolean) 来自iPhone客户端10楼2017-03-11 07:34 收起回复 ...