Planar graph algorithms constitute a pivotal area in theoretical computer science, addressing problems where graphs can be drawn on a plane without edge crossings. Among the myriad challenges in ...

README This My collage project Discirt Mathematics and Graph Theory Here is the app Link : https://planar-graph-visualizer-p733teyxxkvqcccawbmbwd.streamlit.app/ Planar Graph Visualizer is a dynamic ...

Now imagine that you want to insert a new edge connecting two nodes in a planar graph, say nodes 1 and 6 in the example below. To do so, you’re going to perform a series of flips. From the starting ...

The weighted maximal planar graph (WMPG) is practically important in the laying out of facilities in modern manufacturing environments. Given a weighted complete graph, the WMPG seeks to find a ...

However, the main source of inspiration for planar graphs was the Four Color Conjecture (now Theorem; cf. Chapter 8) that the vertices of any planar graph can be colored with four colors in such a way ...

Planar Cable-Driven Parallel Robots (CDPRs) offer significant advantages in various applications, but their deployment has been limited due to challenges in setup and calibration. In this paper, we ...

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Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...

The facilities layout problem is concerned with laying out facilities on a planar site in order to design systems that are as efficient as possible. One approach to the problem involves the use of REL ...