ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary ...

Abstract: Compared to the large number of non-leakage signals during normal water flow in pipelines, leakage samples are scarce and difficult to collect, resulting in leakage detection being a small ...

Abstract: This article presents a simple yet effective method for computing geodesic distances on triangle meshes. Unlike the popular window propagation methods that partition mesh edges into ...

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Practical Plane and Solid Geometry First Stage Practical Plane and Solid Geometry Examples in Practical Geometry and Mensuration Elementary Geometry Theoretical Geometry for Beginners Notes on ...

What about ChatGPT and related large AI Systems? How will they impact us all? As a longtime researcher in AI, I'm excited about the ways in which these new AI systems can improve our healthcare, ...