Let G=(V,E) be a simple graph with vertex set V and edge set E. The rank of G, written as r, is defined to be the rank of its adjacency matrix. Let c denote e−v+θ, where e=|E|, v=|V| and θ means the number o
The $k^{ext{th}}$ power of a graph $G=(V,E)$, $G^k$, is the graph whose vertex set is $V$ and in which two distinct vertices are adjacent if and only if their distance in $G$ is at most $k$. This article proves various eigenvalue bounds for the independence number and ...
The smallest number of colours necessary to colour the nodes of agraphso that no two adjacent nodes have the same colour. See also:four colour map theorem. Graph Theory Lessons. Eric Weisstein's World Of Mathematics. The Geometry Center. ...
Cs. Bujt´as and Zs Tuza, K3-worm colorings of graphs: Lower chromatic number and gaps in the chromatic spectrum, arXiv:1508.01759.Bujtas C., Tuza Z., K3-worm colorings of graphs: Lower chromatic number and gaps in the chromatic spectrum, Discuss. Math. Graph Theory, 36 (2016),...
chromatic numberWe give some necessary conditions for a graph to be 3-chromatic in terms of the spectrum of the adjacency matrix. For all known distance-regular graphs it is determined whether they are 3-chromatic. A start is made with the classification of 3-chromatic distance-regular graphs,...
26. There are three important graph polynomials in graph theory, they have a close relationship with each other: chromatic polynomial, Tutte polynomial and flow polynomial. 27. In the sixth part, the probability estimates of vertex-adjacent vertex distinguishing total chromatic number of some graphs...
5. Objective:To study the effect of light from different direction on digital chromatic value. 目的:研究不同方向光源对数码色度值的影响。 6. The adjacent strong edge chromatic number of join graph of star and path is obtained. 证明了圈Cm与圈C5n的笛卡尔积图的全色数和邻强边色数都为5。
For a positive integer with , a radio -coloring of a simple connected graph is a mapping such that for each pair of distinct vertices , where is the diameter of and is the distance between and . The span of is defined as . The radio -chromatic number of is over all radio -colorings...
The copper foil for a negative electrode current collector with a chromate film according to the present application is preferably such that the apparent coordination number N of the oxygen closest to chrome in the chromate film is 4.5 or greater. patents-wipo The colour boundaries of signal lig...
of separated lighting luminance to obtain the feedback light power signal; anda wide-spectrum sensor, the wide-spectrum sensor having a function of sensing the luminance, measuring the feedback light power signal, and transmitting to the circuit between the feed forward compensator and the feedback...