Phase-encoded oscillating neural networks offer compelling advantages over metal-oxide-
semiconductor-based technology for tackling complex optimization problems, with promising …

Advances in semiconductor fabrication technology have produced explosive growth in the
number of transistors within an integrated circuit (IC). Modern devices consist of dozens of …

Higher dimensional graphs can be used to colour two-dimensional geometric graphs. If G
the boundary of a three dimensional graph H for example, we can refine the interior until it is …

Defective coloring is a variant of the traditional vertex-coloring in which adjacent vertices are
allowed to have the same color, as long as the induced monochromatic components have a …

This is the first part of three episodes to demonstrate a renewal approach for proving the
Four Color Theorem without checking by a computer. The second and the third episodes …

We consider two different notions of graph colouring, namely, the t-periodic colouring for
vertices that has been introduced in 1974 by Bondy and Simonovits, and the periodic …

Criteria for the current list of 250 theorems are whether the result can be formulated
elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without …

Bu çalışmanın amacı, bazı graf türlerinde omega invaryantı yardımıyla graf enerjisi ile ilgili
yeni sonuçlar elde etmektir. Aynı zamanda bir grafın 𝑛× 𝑛 boyutlu komşuluk matrisinden …

In the current global landscape of the modern information age, there is a plethora of systems
of interconnected entities, represented as networks. Graphs serve as fundamental tools for …

This dissertation explores two separate topics on graphs. We first study a far-reaching
generalization of the Four Color Theorem. Given a graph G, we use chi (G) to denote the …