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#1 2010-08-12 10:22:46

samuel12
Member
Registered: 2010-07-17
Posts: 19

Discrete

Hi guys just some quick questions (need answered asap please smile)

(i) Prove that in any digraph with p vertices

p-1 >= RC(u) >= 1-p        Where RC(u) = outreach(u) - inreach(u)     and u is some vertex.

(ii) Prove that in any acyclic digraph, if (u,v) is an arc then RC(u)>RC(v)

(iii) Prove that if u is any source in an acyclic digraph and v is a sink, then
                          RC(u)>=RC(v)

under what circumstances can equality occur.

Thanks guys=)

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#2 2010-08-16 12:26:10

dheejay
Member
Registered: 2010-08-16
Posts: 1

Re: Discrete

hi im new here. . .!!!:)

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#3 2010-08-16 12:52:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Discrete

Hi dheejay;

Welcome to the forum!


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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