algorithm - Graph Theory: Calculating Clustering Coefficient -



algorithm - Graph Theory: Calculating Clustering Coefficient -

i'm doing research , i've come point have calculate clustering coefficient of graph.

according this paper straight related research:

the clustering coefficient c(p) defined follows. suppose vertex v has kv neighbours; @ (kv * (kv-1)) / 2 edges can exist between them (this occurs when every neighbour of v connected every other neighbour of v). allow cv denote fraction of these allowable edges exist. define c average of cv on v

but this wikipedia article on subject says differently:

c = (number of closed triplets) / (number of connected triples)

it seems me latter more computationally expensive.

so question is: equivalent?

it should noted paper cited wikipedia article.

thanks time.

i think they're equivalent. wiki page link gives proof triples formulation equivalent fraction of possible edges formulation when calculating local clustering coefficient, i.e. calculated @ vertex. there seems need show that

sum_v lambda(v)/tau(v) = 3 x # triangles / # connected triples

where lambda(v) number of triangles containing v, , tau(v) number of connected triples v middle vertex, i.e. adjacent each of other 2 edges.

now each triangle gets counted 3 times in numerator of lhs. however, each connected triple counted 1 time middle vertex on lhs, denominators same.

algorithm cluster-analysis graph-theory

Comments

Post a Comment

Popular posts from this blog

iphone - Dismissing a UIAlertView -

iphone - Dismissing a UIAlertView - i set in app purchase app, , when user taps button, purchase started. basically, tap button, , depending on speed on net connection, waiting 10 seconds until new alert view comes asking if purchase product. user tap button multiple times since nil came up, , multiple purchase alert views come up. additionally, maybe seen user app bug. in end, problem. i want alert view come spinning wheel says "loading..." when users taps purchase button. problem is, how dismiss when new alert view comes asking user if want purchase product? if ([uialertview alloc] says: @"whatever apple's alert view says") { //dismiss "loading..." alert view here } i uncertainty work, input appreciated. thanks! you need have access alertview. can this. create alertview instance var in app delegate , when want show loading initialize instance var assign property , when want dismiss phone call [alertviewinstance d...
Read more

intellij idea - Update external libraries with intelij and java -

intellij idea - Update external libraries with intelij and java - simple plenty really. i'm using apache jars, i'll create changes jar's every often. these jars listed external libs in intelij (i.e classpath looking install dir of jar's). when create changes intelij doesn't seem know new implementation. have remove jar external library , re-ad it. does know have intelij picks changes automatically ? i've done clean , rebuild project had little effect. you can go preferences -> build, execution, deployment -> build tools -> maven -> importing , check box says import maven projects automatically . in mac, can command + shift + a , come in action reimport , click on reimport maven projects . intellij-idea
Read more

javascript - send data from a new window to previous window in php -

javascript - send data from a new window to previous window in php - i have image in main.php file : <img src="..\images\image.gif" class="cur" onclick="imgwin();"> when click on image below function has called : function imgwin() { imagewin=window.open("../pages/img.php","imagewin","toolbar=no,width=500,height=200,directories=no,menubar=no,scrollbars=yes"); } this function opens img.php in new window img.php file : <html> <head> <title>upload image</title> </head> <body> <form name="imgform" method="get" action="#"> address : <input type="file" name="imgurl" size="50"> description : <input type="text" name="description" size="50"> <input type="submit" value="sumbit...
Read more