Abstract: We prove a characterization of all polynomial-time computable queries on the class of interval graphs by sentences of fixed-point logic with counting. More precisely, it is shown that on the ...

Abstract: Recent work by Marcus, Spielman and Srivastava proves the existence of bipartite Ramanujan (multi) graphs of all degrees and all sizes. However, that paper did not provide a polynomial time ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

Fast path finding for arbitrary graphs. Play with a demo or watch it on YouTube. If you want to learn how the demo was made, please refer to the demo's source code. I tried to describe it in great ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Brainteasers are mental exercises meant to test your mental limits, thus they're more than just puzzles. There are many distinct types of brainteasers with varying degrees of difficulty. Brain teasers ...

This repository contains a PyTorch implementation of ICLR 2024 paper "PolyGCL: GRAPH CONTRASTIVE LEARNING via Learnable Spectral Polynomial Filters". We provide the small datasets in the folder 'data' ...

Stella Osoba is the Senior Editor of trading and investing at Investopedia. She co-founded and chaired Women in Technical Analysis. She has 15+ years of experience as a financial writer and technical ...

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