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arxiv: 1401.7928 · v2 · pith:MNZMOIZWnew · submitted 2014-01-30 · 🧮 math.CO

On Linkedness of Cartesian Product of Graphs

classification 🧮 math.CO
keywords productgraphslinkedlinkednesscartesianboundsconnectivitycycles
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We study linkedness of Cartesian product of graphs and prove that the product of an $a$-linked and a $b$-linked graphs is $(a+b-1)$-linked if the graphs are sufficiently large. Further bounds in terms of connectivity are shown. We determine linkedness of product of paths and product of cycles.

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