Extremal results on stepwise transmission irregular graphs

نویسندگان

چکیده

The transmission TrG(v) of a vertex v connected graph G is the sum distances between and all other vertices in G. stepwise irregular (STI) if |TrG(u) ? TrG(v)| = 1 holds for each edge uv E(G). In this paper, extremal results on STI graphs with respect to size different metric properties are proved. Two families appear cases, balanced complete bipartite odd order so called hatted cycles.

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ژورنال

عنوان ژورنال: Filomat

سال: 2023

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2304271a