Gallai–Ramsey theory lies at the intersection of graph colouring and Ramsey theory, providing a framework for understanding how structures emerge in edge-coloured graphs. Central to this domain is the ...

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.

Abstract: Covering is an important form of data, and covering-based rough sets provide an effective tool to deal with this data. In this paper, we use bipartite graphs to study covering-based rough ...

Abstract: Clustering large hyperspectral images (HSIs) is a very challenging problem because large HSIs have high dimensionality, large spectral variability, and large computational and memory ...

This is a preview. Log in through your library . Abstract This paper investigates the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that ...

The so-called differential equation method in probabilistic combinatorics presented by Patrick Bennett, Ph.D., Department of Mathematics, Western Michigan University Abstract: Differential equations ...

Minimizing edge crossings in graph drawings is crucial for improving readability in applications such as circuit schematics and transportation maps. One important variant is the k-layered hierarchical ...

There was an error while loading. Please reload this page. You're given an undirected graph with N vertices labeled from 0 to N-1 and E edges. Check whether the graph ...