Abstract: In this paper, we first explore the underlying mathematical structure of edge subsets on a finite directed acyclic graph in using a lattice-theoretic approach. We prove that a collection of ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

Physicists have devised a new model to account for the discomfort that airline passengers know all too well. By Alexander Nazaryan Bjorn Birnir dreads an airplane seatmate asking what he does for a ...

Apple made changes to the iPhone 17 prices this year without raising them. The standard iPhone 17 still starts at $799. The iPhone 17 Pro models have the same prices as their predecessors, with the ...

Taking a page from the private insurance industry’s playbook, the Trump administration will launch a program next year to find out how much money an artificial intelligence algorithm could save the ...

Copyright 2025 The Associated Press. All Rights Reserved. Copyright 2025 The Associated Press. All Rights Reserved. American companies could soon be running a version ...

A new U.S.-based joint venture with investors that include Oracle and the private equity firm Silverlake will take control of the popular short video app TikTok, in a proposed deal that a senior White ...

A deal to prevent a US TikTok ban is now in place. The app’s algorithm will be copied, overseen by Oracle, and retrained using only American user data. This new, separate system addresses national ...

New York (CNN) — The White House has answered what had been one of the major outstanding questions regarding its pending deal to transfer TikTok’s US operations to a majority American ownership group: ...

Copyright 2025 The Associated Press. All Rights Reserved. Copyright 2025 The Associated Press. All Rights Reserved. The TikTok logo is pictured in Tokyo, Sept. 28 ...