A Brief Investigation on B1-EPGtGraphs

Authors

DOI:

https://doi.org/10.20873/uft.2675-3588.2023.v4n2.p41-44

Keywords:

B1-EPGt, Triangular grids, Intersection graphs

Abstract

EPG graphs correspond exactly to the class of edge-intersection graphs of paths on a grid. Most results in the literature involving graphs consider problems where the host of the representation is a simple rectangular grid with only two directions (horizontal and vertical). In this undergraduate thesis, we will explore a new class of EPG graphs, which has been relatively less studied in the literature, the B1-EPGtgraphs. This class is defined as the class of edge-intersection graphs whose paths have at most one bend, and the host of the representation is a triangular grid with three directions (horizontal, vertical, and one diagonal). This research contains novel initial results on the exploration of the B1-EPGt class and presents interesting points for further investigation.

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Published

2023-10-16

How to Cite

[1]
Pereira dos Santos, J. and Santos, T.D. dos 2023. A Brief Investigation on B1-EPGtGraphs. Academic Journal on Computing, Engineering and Applied Mathematics. 4, 2 (Oct. 2023), 41–44. DOI:https://doi.org/10.20873/uft.2675-3588.2023.v4n2.p41-44.

Issue

Vol. 4 No. 2 (2023)

Section

Special Issue

Categories

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Copyright (c) 2023 Jackson Pereira dos Santos, Tanilson Dias dos Santos

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