The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

A fast method is presented for finding a fundamental set of cycles for an undirected finite graph. A spanning tree is grown and the vertices examined in turn, unexamined vertices being stored in a ...

Abstract: This paper improves Itai and Rodeh's algorithm for finding a shortest cycle in an undirected unweighted graph. Given an undirected unweighted graph G with n vertices,the algorithm can ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

Data security involves implementing strategies to safeguard digital information against unauthorized disclosure and modification across computing and communication infrastructures. Given the ...

The Progressive Edge-Growth (PEG) algorithm for generating Tanner graphs (parity check matrices) for LDPC codes. Its main goal is to avoid short cycles in the graph, which improves performance under ...

ABSTRACT: In 2012, Ponraj et al. defined a concept of k-product cordial labeling as follows: Let f be a map from V( G ) to { 0,1,⋯,k−1 } where k is an integer, 1≤k≤| V( G ) | . For each edge uv assign ...

Given the adjacency matrix of the graph, the algorithm presented in this paper finds a spanning tree and then constructs the set of fundamental cycles. Our algorithm is slower than an algorithm ...

In the contemporary technological landscape, ensuring confidentiality is a paramount concern addressed through various skillsets. Cryptography stands out as a scientific methodology for safeguarding ...

If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...

A professor has helped create a powerful new algorithm that uncovers hidden patterns in complex networks, with potential uses in fraud detection, biology and knowledge discovery. University of ...