4
$\begingroup$

I'm working on a Graph Theory research project, and one of the key components is talking about the indegrees and the outdegrees of a few particular vertices. I need to define a term for the value of indegree-outdegree for a particular vertex. Or for vertex $v$ does the value $\deg^{-}(v) - \deg^{+}(v)$ have a name?

Some possible terms have been "netdegree" or "flow value," which would suffice for my needs, but I would like to make sure I use the existing terminology if possible.

$\endgroup$
2
  • $\begingroup$ I don't know of any standard terminology. I like "net income." $\endgroup$
    – saulspatz
    Nov 13 '20 at 0:29
  • $\begingroup$ I believe the word "excess" can also be used (especially if your graph relates to flow networks). $\endgroup$
    – paulinho
    Nov 13 '20 at 0:30
4
$\begingroup$

I believe this is called the imbalance of a vertex, see for example this paper: https://core.ac.uk/download/pdf/42932978.pdf

Note that this is defined as indegree - outdegree, but clearly this can be easily reversed.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.