Generalized M\"{o}bius Ladder and Its Metric Dimension
Muhammad Idrees, Ma Hongbin, Abdul Rauf Nizami, Mobeen Muneer

TL;DR
This paper introduces a new class of graphs called generalized Möbius ladders, analyzes their metric dimensions, and identifies how these dimensions vary with the parity of parameters, revealing two subfamilies with constant metric dimensions.
Contribution
It defines the generalized Möbius ladder $M_{m,n}$ and determines its metric dimension, highlighting differences based on even and odd parameter values.
Findings
Generalized Möbius ladder $M_{m,n}$ defined and analyzed.
Metric dimension depends on parity of $m$ and $n$.
Two subfamilies with constant metric dimensions identified.
Abstract
In this paper we introduce generalized M\"{o}bius ladder and give its metric dimension. Moreover, it is observed that, depending on even and odd values of and , it has two subfamilies with constant metric dimensions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGraph Labeling and Dimension Problems
