Science:Math Exam Resources/Courses/MATH307/April 2013/Question Section 201 05 (a)/Statement

Consider the following graph, interpreted as a resistor network with all resistances R = 1.

(a) Write down the incidence matrix D and the Laplacian matrix L for this graph. Show that (for any graph) N(L) = N(D). Is it true that R(D^T) = R(L)? Give a reason.