Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that ...

Abstract: Catalytic cracking unit is a highly dynamic industrial process involving complex chemical reactions, catalyst circulation, temperature and pressure changes, and control system regulation. To ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

ABSTRACT: In this paper, a sufficient condition for a balanced bipartite graph to contain a 2-factor F is given. We show that every balanced bipartite graph of order 2n ( n≥6 ) and e( G )> n 2 −2n+4 ...

School of Mathematics and Statistics, Shandong Normal University, Jinan, China. In the next section, a statement of the problem is introduced. Afterwards, the proof of the main results is established.

I know that for chordal graphs, Sage has a function to recognize a perfect elimination ordering. This problem is somewhat similar, identifying chordal bipartite graphs. The following theorem is ...

Bipartite graph has various application in modern coding theory.The implementation of algorithm to check if the graph is Bipartite is crucial. The graph is categorized to be bipartite if it doesn't ...

Current visualizations in microbiome research rely on aggregations in taxonomic classifications or do not show less abundant taxa. We introduce Snowflake: a new visualization method that creates a ...

Finding bipartite matchings is one of the oldest and most well-studied problems in computer science. This problem comes up in many guises, such as when matching donors to recipients for organ ...