The spum and sum-diameter of graphs: Labelings of sum graphs
نویسندگان
چکیده
A sum graph is a finite simple whose vertex set labeled with distinct positive integers such that two vertices are adjacent if and only the of their labels itself another label. The spum $G$ minimum difference between largest smallest in consisting number additional isolated necessary so labeling exists. We investigate various families graphs, namely cycles, paths, matchings. introduce sum-diameter, modification definition omits requirement minimal, which we believe more natural quantity to study. then provide asymptotically tight general bounds on both sides for study its behavior under numerous binary operations as well edge operations. Finally, generalize sum-diameter hypergraphs.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2022
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2022.112806