In graph theory, a star Sk is the complete bipartite graph K1,k, a tree with one internal node and k leaves. A star with 3 edges is called a claw. The star Sk is edge-graceful when k is even and not when k is odd. It is edge-transitive, unit distance and has diameter 2, ...
A graph is called star-extremal if its fractional chromatic number is equal to its circular chromatic number (also known as the star chromatic number). We prove that members of a certain family of circulant graphs are star-extremal. The result generalizes some known theorems of Sidorendo [7]...
Observations of the interstellar medium are key to deciphering the physical processes regulating star formation in galaxies. However, observational uncertainties and detection limits can bias the interpretation unless carefully modeled. Here I re-analyze
If you crave for intellectual challenge in mathematics, you are always welcome to check out my Graph Theory repository. Nevertheless, I believe the birth of this project will meet your picky demand. Buon appetito 😋 🍊 🍍 🍈 🌽 and 🍠 are something we have been taking for granted....
Book graphs play important roles in graph Ramsey theory. The diagonal Ramsey number R(Bn,Bn) was determined by Rousseau and Sheehan [22] as 4n+2 for infinitely many n, and R(Bm,Kn) was bounded from above by Li and Rousseau [16]. Nikiforov and Rousseau obtained the following result. ...
3Classical theory 3.1Dynamics Dynamics is introduced in the Lagrangian framework. We begin with recalling some crucial definitions after [8]. Here,denotes the space of smooth, compactly supported, real-valued functions (test functions). Definition 3.1 ...
Modern portfolio theory was introduced in 1952 by Nobel laureate Harry Markowitz. It is part of investment class 101. But I watched a video by Wolfram recently. It challenged the traditional approach and introduced graph theory to asset diversification. There are plenty of quant shops deploying fan...
(x)\in (L^1+L^\infty )(\Gamma )$$\end{document}on a star graphΓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \...
If you crave for intellectual challenge in mathematics, you are always welcome to check out my Graph Theory repository. Nevertheless, I believe the birth of this project will meet your picky demand. Buon appetito 😋 🍊 🍍 🍈 🌽 and 🍠 are something we have been taking for granted....
This project is documented in the repository of Graph Theory. For more details, please refer to the read me page of a separate directory or graph theory section on my personal blog. 14. Smart Farmers project I know a lot of you have complained that this repository isn’t quantitative enough...