Total Vertex Irregularity Strength of Dense Graphs
Copyright policy ) Piotr Majerski; Jakub Przybylo;
Total Vertex Irregularity Strength of Dense Graphs
AbstractConsider a graph of minimum degree δ and order n. Its total vertex irregularity strength is the smallest integer k for which one can find a weighting such that for every pair of vertices of G. We prove that the total vertex irregularity strength of graphs with is bounded from above by . One of the cornerstones of the proof is a random ordering of the vertices generated by order statistics.
Graph labelling (graceful graphs, bandwidth, etc.), dense graph, order statistic, Coloring of graphs and hypergraphs, vertex ordering, total vertex irregularity strength
Graph labelling (graceful graphs, bandwidth, etc.), dense graph, order statistic, Coloring of graphs and hypergraphs, vertex ordering, total vertex irregularity strength
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 25
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