Graph cover problems form a critical area within discrete optimisation and theoretical computer science, addressing the challenge of selecting subsets of vertices (or edges) that satisfy predetermined ...

Genomic medicine relies on single reference genomes that miss crucial genetic diversity, creating diagnostic gaps that disproportionately affect underrepresented populations. Pangenome graphs, ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Abstract: In this paper, we evaluate and investigate two main types of relevance feedback algorithms; the Euclidean and the correlation-based approaches. In the first case, we examine heuristic and ...

In-context learning (ICL) enables LLMs to adapt to new tasks by including a few examples directly in the input without updating their parameters. However, selecting appropriate in-context examples ...

Swift Graphs library provides a composable and extensible foundation for working with graphs. Whether you're constructing binary trees, performing complex graph traversals, or optimizing pathfinding ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

Graph databases (GDBs) 13, 30 have gained momentum with the rise of large unstructured repositories of information that emphasize relations between entities. Dozens of GDB management systems, 8, 22, ...

My solutions to Google's Foobar Challenge for coding data structures and algorithms. Includes my solution code, unit tests, background notes, design notes, and references.