Full friendly index sets of P2×Pn
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摘要
Let G=(V,E) be a graph, a vertex labeling View the MathML source induces an edge labeling View the MathML source defined by 16034b4b50fa4a1e89d52f" title="Click to view the MathML source" alt="Click to view the MathML source">f*(xy)=f(x)+f(y) for each xyset membership, variantE. For each View the MathML source, define vf(i)=|f-1(i)| and ef(i)=|f*-1(i)|. We call f friendly if |vf(1)-vf(0)|less-than-or-equals, slant1. The full friendly index set of G is the set of all possible values of ef(1)-ef(0), where f is friendly. In this note, we study the full friendly index set of the grid graph P2×Pn.

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