hvds / eulerian Goto Github PK
View Code? Open in Web Editor NEWCount eulerian graphs on an n-dimensional hypercube
Count eulerian graphs on an n-dimensional hypercube
Calculate the number of Eulerian graphs on an n-dimensional hypercube. A Eulerian graph is one in which each edge has a direction, and for each vertex the number of edges directed "out of" this vertex is equal to the number of edges directed "in to" it. So by definition each vertex must have an even number of edges, and thus "n" is required to be even. It is known that for n=2 there are 2 such graphs, and for n=4 there are 2970. It is additionally known that for n=6 the number lies between 2.9 x 10^25 and 4.3 x 10^41 [1]. The aim is to calculate the value for n=6; for now, we assume n=8 is out of reach. [1] "Bounds on the Number of Eulerian Orientations" (A. Schrijver, 1983) shows that the number of Eulerian orientations of a 2k-regular graph on n vertices is between (2^{-k} (2k choose k))^n and sqrt((2k choose k)^n).
A declarative, efficient, and flexible JavaScript library for building user interfaces.
๐ Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.
TypeScript is a superset of JavaScript that compiles to clean JavaScript output.
An Open Source Machine Learning Framework for Everyone
The Web framework for perfectionists with deadlines.
A PHP framework for web artisans
Bring data to life with SVG, Canvas and HTML. ๐๐๐
JavaScript (JS) is a lightweight interpreted programming language with first-class functions.
Some thing interesting about web. New door for the world.
A server is a program made to process requests and deliver data to clients.
Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.
Some thing interesting about visualization, use data art
Some thing interesting about game, make everyone happy.
We are working to build community through open source technology. NB: members must have two-factor auth.
Open source projects and samples from Microsoft.
Google โค๏ธ Open Source for everyone.
Alibaba Open Source for everyone
Data-Driven Documents codes.
China tencent open source team.