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 ...

Abstract: Hodge theory provides a unifying view of the various line, surface, and volume integrals that appear in physics and engineering applications. Hodge theory on graphs develops discrete ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Ryan Seacrest Breaks Down as He Shares an Emotional Family Update New Photos Show How President Trump Paved Over the White House Rose Garden Record number of farms shut in wake of inheritance tax raid ...

Abstract: With the rapid development of deep neural networks, cross-modal hashing has made great progress. However, the information of different types of data is asymmetrical, that is to say, if the ...

Applicable Analysis and Discrete Mathematics, Vol. 7, No. 2 (October 2013), pp. 262-274 (13 pages) A map f : V → {0, 1, 2} is a Roman dominating function for G if for every vertex v with f(v) = 0, ...

This is a preview. Log in through your library . Abstract Despite increased appreciation of the role of proof in students' mathematical experiences across all grades, little research has focused on ...

Can you chip in? The Internet Archive is introducing peer-to-peer (P2P) fundraising —a giving platform that allows individual supporters to host personalized campaigns to fundraise for the Internet ...

The School of Mathematics and Statistics is recognized for its contributions to research and applications of mathematical and statistical science, and it’s also known for expertise in mathematical and ...