Sum index and difference index of graphs
نویسندگان
چکیده
Let G be a nonempty simple graph with vertex set V(G) and an edge E(G). For every injective labeling f:V(G)?Z, there are two induced labelings, namely f+:E(G)?Z defined by f+(uv)=f(u)+f(v), f?:E(G)?Z f?(uv)=|f(u)?f(v)|. The sum index the difference minimum cardinalities of ranges f+ f?, respectively. We provide upper lower bounds on index, determine various families graphs. also interesting conjecture relating
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2023
ISSN: ['1872-6771', '0166-218X']
DOI: https://doi.org/10.1016/j.dam.2022.10.020