1
vote
0answers
46 views

Representing distances in high-dimensional space

I have a set of n points $P_i$ $(i=1..n)$ in an d-dimensional space. I can calculate the distances of every point to each other point. What is the best way to represent the distances of these ...
0
votes
0answers
39 views

Logic behind Force-directed graph drawing/layout

Here are the prerequisites for what I'm trying to do: I have n nodes (rectangles) in a 2D plane, that are evenly spaced (can have any x/y coordinates) Each node has width w and height h (each node ...
0
votes
0answers
61 views

Calculating Eigenvector Centrality & Betweenness Centrality formulas explained in simple terms

I'm currently working on a software application that has a function that analyses networks of people and the relationships between them. Two of the important variables we look at are Eigenvector ...
0
votes
1answer
31 views

how to define a function which returns a multiset

Given graph $G(V,E)$, how can I formally define function $f\prime$ which takes a node $v \in V$ and returns a multiset?
0
votes
0answers
27 views

Detect Regions Described By Lines in Rectangular Coordinates

Need some help from the superior math minds here. This problem is part of a software project. Essentially, I have a Cartesian grid. The user can create lines by plotting points (every 2 points ...
1
vote
1answer
63 views

Inverse Function + Reflection In Y-Axis

Not getting any of the answers in MC. Is the answer wrong, or have I done something wrong?
0
votes
1answer
34 views

word problem, please help

your classmate juan missed the lesson on graphing linear equations using slope-intercept form. you attend the class and what to help juan understand the material he missed. assume juan knows how ...
0
votes
1answer
59 views

find equation of a line perpendicular to the given line through the given point

find equation of a line perpendicular to the given line through the given point the line is y=1/2x-2 the point is (3,6) I don't know what to do ,or try , please help me , its probably very ...
0
votes
1answer
61 views

Worded Problem: Model a Plane Landing

I have no idea to model this. All I know are the two points $(50, 10)$ and $(0,0)$ Then from after solving I get $a=1/12500$ and $b=0$ The textbook answers are:
1
vote
2answers
31 views

detecting dynamic parts in graph

I have set of (x,y) points which can be connected to form a graph, my goal is to detect dynamic parts of this graph. by dynamic I mean ranges where the values are not stable but they are changing by ...
-1
votes
1answer
70 views

find a common plane which contains two points (NP hard?)

In this problem the coordinates of 4 points are given. $p_{0}=(x_{0},y_{0},z_{0})$, $p_{1}=(x_{1},y_{1},z_{1})$, $p_{2}=(x_{2},y_{2},z_{2})$ and $p_{3}=(x_{3},y_{3},z_{3})$ I need to find the ...
0
votes
1answer
71 views

Drawing Planar Graphs

Is it possible to draw a planar graph on 11 vertices in which each face (country) has 3 neighbours? And is there some method after to draw it to confirm that it is in fact indeed planar? I drew some ...
0
votes
1answer
80 views

Groetzsch Graph planarity [closed]

(1) Prove that the Groetzsch Graph is not planar.
0
votes
1answer
73 views

Approaching of area and perimeter of a regular polygon to that of a circle

When regular polygon approaches to circle its area and perimeter also approaches to that of a circle. Can you graphically show that ?
1
vote
1answer
77 views

cluster validation and determining number of clusters

I want to find number of cluster in the real world data set. So, I validate the spectral clustering by using some indexes as shown in figures below? But as you seen in figures the results are very ...
0
votes
0answers
109 views

Plotting graph For Z versus $\rho$ by applying numerical method and explanation of nodes

I want to draw a simulation for a graph by Mathematica but confused that where I have got struck, The equation I need to plot is, $$\frac{d^2Z}{d \rho^2}+ \frac{D-1}{\rho} \frac{dZ}{d \rho}-Z + 3S^2 ...