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Date: 5-4-2022
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The graph sum of graphs and is the graph with adjacency matrix given by the sum of adjacency matrices of and . A graph sum is defined when the orders of and are the same, and can be computed using GraphSum[g, h] in the Wolfram Language package Combinatorica` .
Beineke, L. W. and Wilson, R. J. (Eds.). Topics in Algebraic Graph Theory. New York: Cambridge University Press, p. 104, 2004.
Skiena, S. "Sum and Difference." §4.1.2 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, p. 131, 1990.
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