Abstract: In this paper, we propose a new class of graphs called generalized recursive circulant graphs which is an extension of recursive circulant graphs. While retaining attractive properties of ...

We study regular coverings of graphs and manifolds with a focus on properties of the heat equation. In particular, we look at stochastic incompleteness, the Feller property, and uniform transience, ...

ABSTRACT: The Total Coloring Conjecture (TCC) proposes that every simple graph G is (Δ + 2)-totally-colorable, where Δ is the maximum degree of G. For planar graph, TCC is open only in case Δ = 6. In ...

Arithmetic sequences are a fundamental concept in mathematics that allows us to study ordered sets separated by a constant difference. They help us understand linear patterns in various real-world ...

In this note, we will give the recursive formulas for sample mean and sample variance, and their generalized forms for batch updates.