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单词 Sequential Graph
释义

Sequential Graph

A Connected Graph having Edges is said to be sequential if it is possible to label thenodes with distinct Integers in such that when Edge is labeled , the set of Edge labels is a block of consecutive integers(Grace 1983, Gallian 1990). No Harmonious Graph is known which cannot also be labeled sequentially.

See also Connected Graph, Harmonious Graph


References

Gallian, J. A. ``Open Problems in Grid Labeling.'' Amer. Math. Monthly 97, 133-135, 1990.

Grace, T. ``On Sequential Labelings of Graphs.'' J. Graph Th. 7, 195-201, 1983.


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