Cylindrical Graph Construction (definition and basic properties)
Amir Daneshgar, Mohsen Hejrati, Meysam Madani
TL;DR
This paper introduces the cylindrical construction for graphs, explores its fundamental properties, and presents a duality result, laying groundwork for future applications and detailed motivations.
Contribution
It defines the cylindrical graph construction, investigates its basic properties, and establishes a weak tensor-like duality, contributing new theoretical insights.
Findings
Introduces the cylindrical graph construction.
Establishes a weak tensor-like duality for the construction.
Provides foundational properties and results for future research.
Abstract
In this article we introduce the {\it cylindrical construction} for graphs and investigate its basic properties. We state a main result claiming a weak tensor-like duality for this construction. Details of our motivations and applications of the construction will appear elsewhere.
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Taxonomy
TopicsAdvanced Graph Theory Research · Interconnection Networks and Systems · Computational Geometry and Mesh Generation