In a graph, how to find the nearest node to a group of nodes?

Posted by Nikola on Stack Overflow See other posts from Stack Overflow or by Nikola
Published on 2010-05-20T13:28:17Z Indexed on 2010/05/20 13:30 UTC
Read the original article Hit count: 239

Filed under:

graph

|

minimum

|

distance

|

node

|

group

Hello,

I have an undirected, unweighted graph, which doesn't have to be planar. I also have a subset of graph's nodes (true subset) and I need to find a node not belonging to the subset, with minimum sum of distances to all nodes in the subset.

So far, I have implemented breath-first search starting from each node in the subset, and the intersection that occurs first is the node I am looking for. Unfortunately, it is running too slow since the graph contains a large number of nodes.

Any advice or comment will be appreciated.

Thank you, Nikola

© Stack Overflow or respective owner

Related posts about graph

C++: Error in Xcode; "Graph::Coordinate::Coordinate()", referenced from: ...

as seen on Stack Overflow - Search for 'Stack Overflow'
In a program I am writing, I wrote for two classes (Coordinate, and Graph), with one of them taking the other as constructor arguments. When I try to compile it I get the following error for Graph.cpp: Undefined symbols: "Graph::Coordinate::Coordinate(double)", referenced from: Graph::Graph()… >>> More
How to create Line Graph and Bar graph on same parameters in asp.net

as seen on C# Corner - Search for 'C# Corner'
We can use GDI+ to draw chart components in C# or VB.NET language in memory and once the components are drawn in memory, we can save the drawing in an image on the Web server. Once the image is saved, we can display this image in an ASP.NET page using any Image tag or image control. >>> More
Display Graph using Boost Graph Library

as seen on Stack Overflow - Search for 'Stack Overflow'
Can anyone please tell me that once I've created a graph using Boost Graph library, how can I display that graph? My biggest concern is that the edge weights are coming from an exernal data source over the network. And I need to be able to display the edgeweights live as they get updated. >>> More
Matlab multiple graph types inside one graph

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi, I have a task to draw electrostatic field between two electrodes( at given sizes and shape ), what i have now is that i draw the electrodes with area plot (area(elect_x,elect_y)) the graph looks like this: ------------------.--- |.. .---. |.. |...| |… >>> More
[C++] Write connected components of a graph using Boost Graph

as seen on Stack Overflow - Search for 'Stack Overflow'
I have an file that is a long list of weighted edges, in the following form node1_id node2_id weight node1_id node3_id weight and so on. So one weighted edge per line. I want to load this file into boost graph and find the connected components in the graph. Each of these connected components… >>> More

Related posts about minimum

Minimum confidence and minimum support for Apriori

as seen on Stack Overflow - Search for 'Stack Overflow'
What are appropriate values for minimum confidence and minimum support values for the Apriori algorithm? How could you tweak them? Are they fixed values, or do they change during the running of the algorithm? If you have used this algorithm before, what values did you use? >>> More
Minimum number of disks to implement RAID6

as seen on Server Fault - Search for 'Server Fault'
Hi All, RAID6 is intended to provide fault tolerance in the event 2 disks fail. What is the minimum number of disks required to implement RAID6? thanks >>> More
SVM Classification - minimum number of input sets for each class

as seen on Stack Overflow - Search for 'Stack Overflow'
Im trying to build an app to detect images which are advertisements from the webpages. Once I detect those Ill not be allowing those to be displayed on the client side. From the help that I got here in stackoverflow, I thought SVM is the best approach to my aim. So, I have coded SVM and an SMO myself… >>> More
How to find minimum of nonlinear, multivariate function using Newton's method (code not linear algeb

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying to do some parameter estimation and want to choose parameter estimates that minimize the square error in a predicted equation over about 30 variables. If the equation were linear, I would just compute the 30 partial derivatives, set them all to zero, and use a linear-equation solver. … >>> More
Convert methods from Java-actionscript to ObjectiveC

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi I'm tring to convert the following 3 methods from java-actionscript to Objective C. Part of my confusion I think is not knowing what Number types, primitives I should be using. ie in actionscript you have only Number, int, and uint. These are the 3 functions I am trying to convert public function… >>> More