论文标题

几个公制图形不变的差异

The difference between several metric dimension graph invariants

论文作者

Danas, Milica Milivojević

论文摘要

在本文中,研究了与度量维度相关的几个图形不变符之间差异的极端值:混合度量维度,边缘度量尺寸和强度度度。这些非平凡的极值值是在给定顺序的所有连接图上计算的。为了获得这样的极值,开发了几种技术。他们使用与度量尺寸图不变性相关的函数,以在限制某些特定图形族时获得这些极值和精确计算的较低和/或上限。

In this paper extremal values of the difference between several graph invariants related to the metric dimension are studied: mixed metric dimension, edge metric dimension and strong metric dimension. These non-trivial extremal values are computed over all connected graphs of given order. To obtain such extremal values several techniques are developed. They use functions related to metric dimension graph invariants to obtain lower and/or upper bounds on these extremal values and exact computations when restricting to some specific families of graphs.

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