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- W2912902786 abstract "For a graph G , a graph recurrence sequence x 0 , x 1 , x 2 ,… of vectors is defined by the recurrence x t+1 =A x t , t=0,1,…, where A is the adjacency matrix of G and x 0 is an initial vector. Each vector in this sequence can be thought of as a vertex labeling of G , the label at a given vertex at step t +1 obtained by summing the values at the adjacent vertices at step t . Based on graphical sequences, three concepts are defined: (1) for a graph to be determined by a set of vectors , (2) for two graphs to be m - equivalent , and (3) for the vertices of the graph to be separated by a set of vectors . Results concerning these notions are given, relations to the graph isomorphism problem are discussed, and numerous open problems are posed." @default.
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- W2912902786 date "2003-01-01" @default.
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- W2912902786 title "Graph recurrence" @default.
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- W2912902786 doi "https://doi.org/10.1016/s0195-6698(02)00136-1" @default.
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