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・ Graph amalgamation
・ Graph automorphism
・ Graph bandwidth
・ Graph C*-algebra
・ Graph canonization
・ Graph center
・ Graph coloring
・ Graph coloring game
・ Graph continuous function
・ Graph cut
・ Graph cuts in computer vision
・ Graph database
・ Graph drawing
・ Graph dynamical system
・ Graph embedding
Graph energy
・ Graph enumeration
・ Graph equation
・ Graph factorization
・ Graph homomorphism
・ Graph isomorphism
・ Graph isomorphism problem
・ Graph kernel
・ Graph labeling
・ Graph literacy
・ Graph manifold
・ Graph minor
・ Graph Modelling Language
・ Graph Nobel
・ Graph of a function


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Graph energy : ウィキペディア英語版
Graph energy
In mathematics, the energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory.
More precisely, let ''G'' be a graph with ''n'' vertices. It is assumed that ''G'' is simple, that is, it does not contain loops or parallel edges. Let ''A'' be the adjacency matrix of ''G'' and let \lambda_i, i = 1 , \ldots , n , be the eigenvalues of ''A''. Then the energy of the graph is defined as:
:E(G) = \sum_^n|\lambda_i|.
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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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