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Homework Help: Graph theory (incidence matrix and linear algebra)

  1. Jan 21, 2016 #1
    1. The problem statement, all variables and given/known data
    I can't understand this paper. I understand the whole incidence matrix stuff, but I don't quiet get how it relates to the linear algebra. I don't know if this is allowed to do, but I will ask you questions line by line, so basically you will read the paper with me explaining every single detail if it's possible.

    The first things that I would like to understand are the following transformations.
    C1(Γ) ≅ R m; coordinates φ ↦ φ(ea) and
    C0(Γ) ≅ R n ; coordinates f ↦ f(vi).

    what I understand about this is that a function takes on vertices and outputs something that relates to edges and viceversa. But this is too vague. I want to know more. If it's possible can you relate that to what they are trying to do in the paper?.

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Jan 22, 2016 #2


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    The paper says "recall that", implying there was some earlier discussion of these C functions. I'm not able to guess what they are.
    By the way, I think the title is supposed to say "kernel and co-kernel", not "kernel and cockerel" :smile:
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