meta - Spanning Tree Graph -


i have question spanning tree , not entirely sure how tackle properly.

a connected graph g= (v, e) withn=|v|vertices can have many different spanningtrees, each exactlyn−1 edges. relationships among these spanning trees can berepresented meta-graph sg. each vertex ofsgcorresponds 1 of spanning treesofg . there edge between 2 vertices of sg if corresponding spanning trees ti andtj have n−2 common edges ing(so ti has 1 edge ofg not intj , tj has 1 edge of g not in ti).

(a) prove meta-graph sg of connected graphg connected.

(b) suppose edges of g have positive integer weights. weights not necessar-ily distinct, there can more 1 minimum spanning tree (mst). vertices of sg correspond msts of g , other vertices correspond spanning trees of g not have minimum weight. prove subgraph of sg inducedby vertices of sg corresponding msts of g connected.

answer: not entirely sure how solve problem , correct argument proove a) , b)

this have far part a) suppose metagraph of g not connected means there @ least 2 spanning trees @ least 2 different edges not possible since spanning trees cover possible tree formation of connected graph.so there must spanning tree has 1 different edge other spanning tree.

could please me question?


Comments

Post a Comment

Popular posts from this blog

Command prompt result in label. Python 2.7 -

i want put result(output) of shell command label. command works, label shows "0", however, in command prompt, result shown correctly, need showed in label. doing ubuntu. myg1 = button(root, text="rodyti informacija", command=lambda: gauti()) myg1.pack(side=bottom) def gauti(): imti = tekstas.get("1.0", "end-1c") info = subprocess.call("id '{imti}' ".format(imti=imti), shell=true) w = label(root, text= info) w.pack(side = bottom) subprocess.call() returns exit code of process created (in case 0 success). if want text output of process, should instead call subprocess.check_output() .
Read more

javascript - How do I use URL parameters to change link href on page? -

i change href value of link using url parameters. example: default <a id="dlink" href="link-1">link</a> but, when user goes https://url.com/?dlink=link-2 it swaps out link new link <a id="dlink" href="link-2">link</a> first need value url. if you're not using javascript framework can create function using jquery. please check get url parameter jquery or how query string values in js it. after that, element "a" id , set value there. $("#dlink").attr("href", hreffromparam);
Read more

amazon web services - AWS Route53 Trying To Get Site To Resolve To www -

so have domain nameservers pointed aws route 53. site hosted on ec2 instance , reachable resolves site.com, if input www.site.com. i'm curious how site resolve www.site.com. have under route53 domains hosted zone 2 additional record sets outside of ns , soa: a site.com ec2 elastic ip cname www.site.com ec2 public dns i can reach site using both site.com , www.site.com, resolve site.com. there way make if enter either, resolves www.site.com? at first, both should record set. a site.com ec2 elastic ip www.site.com ec2 elastic ip and need redirect setting in web server (nginx, apache, ..) following. (source: how redirect www non-www nginx on centos 7 ) redirect non-www www if want redirect users plain, non-www domain www domain, add server block: server { server_name example.com; return 301 $scheme://www.example.com$request_uri; } save , exit. configures nginx redirect requests "example.com" "www.example.com". not...
Read more