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...
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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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,...
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...
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 find whether we have a minimum or maximum we first need to determine the vertex of the equation. Along with the vertex, we also need to figure out whether the equation opens upwards or downwards. If the coefficient of the term x2 p...
The term for the y-coordinate of the vertex of a parabola that opens down The term for the y-coordinate of the vertex of a parabola that opens up Calculating the minimum or maximum value of a parabola Skills Practiced This worksheet and quiz let you practice the following skills: ...