Sum of flow network functions












0












$begingroup$


It might be a pretty silly question but..



What is the sum of two flow network functions?
You just go and make the sum of each flow function for every edge?



Let

f1 and f2 two flow functions

a graph G=(V, E)

e1, e2 are edges from E



f1(e1) = 5, f1(e2) = 3

f2(e1) = 2, f2(e2) = 3



If f = f1 + f2, then f(e1) = 7 and f(e2) = 6? Or I'm getting something wrong?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Hint: The flow functions form a vector space.
    $endgroup$
    – amd
    Jan 8 at 20:32










  • $begingroup$
    It says that the sum is in the same form. So I was right?
    $endgroup$
    – qpBlaze
    Jan 8 at 20:35


















0












$begingroup$


It might be a pretty silly question but..



What is the sum of two flow network functions?
You just go and make the sum of each flow function for every edge?



Let

f1 and f2 two flow functions

a graph G=(V, E)

e1, e2 are edges from E



f1(e1) = 5, f1(e2) = 3

f2(e1) = 2, f2(e2) = 3



If f = f1 + f2, then f(e1) = 7 and f(e2) = 6? Or I'm getting something wrong?










share|cite|improve this question









$endgroup$












  • $begingroup$
    Hint: The flow functions form a vector space.
    $endgroup$
    – amd
    Jan 8 at 20:32










  • $begingroup$
    It says that the sum is in the same form. So I was right?
    $endgroup$
    – qpBlaze
    Jan 8 at 20:35
















0












0








0





$begingroup$


It might be a pretty silly question but..



What is the sum of two flow network functions?
You just go and make the sum of each flow function for every edge?



Let

f1 and f2 two flow functions

a graph G=(V, E)

e1, e2 are edges from E



f1(e1) = 5, f1(e2) = 3

f2(e1) = 2, f2(e2) = 3



If f = f1 + f2, then f(e1) = 7 and f(e2) = 6? Or I'm getting something wrong?










share|cite|improve this question









$endgroup$




It might be a pretty silly question but..



What is the sum of two flow network functions?
You just go and make the sum of each flow function for every edge?



Let

f1 and f2 two flow functions

a graph G=(V, E)

e1, e2 are edges from E



f1(e1) = 5, f1(e2) = 3

f2(e1) = 2, f2(e2) = 3



If f = f1 + f2, then f(e1) = 7 and f(e2) = 6? Or I'm getting something wrong?







functions graph-theory network-flow






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 8 at 20:15









qpBlazeqpBlaze

61




61












  • $begingroup$
    Hint: The flow functions form a vector space.
    $endgroup$
    – amd
    Jan 8 at 20:32










  • $begingroup$
    It says that the sum is in the same form. So I was right?
    $endgroup$
    – qpBlaze
    Jan 8 at 20:35




















  • $begingroup$
    Hint: The flow functions form a vector space.
    $endgroup$
    – amd
    Jan 8 at 20:32










  • $begingroup$
    It says that the sum is in the same form. So I was right?
    $endgroup$
    – qpBlaze
    Jan 8 at 20:35


















$begingroup$
Hint: The flow functions form a vector space.
$endgroup$
– amd
Jan 8 at 20:32




$begingroup$
Hint: The flow functions form a vector space.
$endgroup$
– amd
Jan 8 at 20:32












$begingroup$
It says that the sum is in the same form. So I was right?
$endgroup$
– qpBlaze
Jan 8 at 20:35






$begingroup$
It says that the sum is in the same form. So I was right?
$endgroup$
– qpBlaze
Jan 8 at 20:35












0






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