Let be the set of connected simple n-vertex graphs with minimum vertex degree and maximum vertex degree . The Randi index of a graph G is defined by , where is the degree of vertex u and the summation extends over all edges uv of G. In this paper, we find for , and k, m, n ...
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问题描述:就是在图中找最小的点集,使得覆盖所有边。 和独立集等价:独立集问题:在图中找最大的点集,使得点集内的所有点互不相连。 引理:顶点覆盖集和独立集互补。 上面这个引理使得这两个问题可以相互规约,从而这两个问题等价。 等价问题:给定图G和数k, 问G包含大小至少为k的独立集吗? 为什么等价:如果我们能...
The y-value of the vertex is the minimum value of the graph. Also from your equation, h = 7 and k = 3. Your vertex is the point (7, 3) and 3 is the minimum value. Be careful with the value of h, since the formula has subtraction in it. A value (x-7) means h = +7, ...
To see whether it is a maximum or a minimum, in this case we can simply look at the graph.f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is...
Maximum Vertex Degree,Vertex Degree Explore with Wolfram|Alpha More things to try: 7 rows of Pascal's triangle circumference of a circle with radius 3 miles maximize e^x sin y on x^2+y^2=1 References Fabrici, I. and Madaras, T. "the Structure of 1-Planar Graphs."Disc. Math.307,...
Combinatorica` MinimumVertexCover As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. » MinimumVertexCover[g] finds a minimum vertex cover of graph g. 更多信息和选项 参见 FindVertexCover MaximumClique MaximumIndependentSet VertexCoverQ...
To get minimum vertex cover you take all visited right vertices of M, and all not-visited left vertices of M. First, you can never get a vertex cover of size less than the maximum matching. Proof by contradiction: Assume you had a vertex cover, then for each edge in the maximum matchi...
Answer to: Find the vertex, tell whether the vertex is minimum or maximum, find the y-intercept and the x-intercepts. f(x) = -3x^{2} + 6x + 1 By...
maximum possible clearance. The introduced structure is useful for computing the path in the corridor spaces. Davoodi [2] studied the problem of bi-objective PP in a grid workspace with objectives minimizing the length of the path and maximizing its clearance. He also studied the problem in the...