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 ...

data structure and algorith:This journey is not just about coding but also about developing problem-solving thinking, optimizing solutions, and building a strong foundation for coding interviews and ...

When Edsger W. Dijkstra published his algorithm in 1959, computer networks were barely a thing. The algorithm in question found the shortest path between any two nodes on a graph, with a variant ...

ABSTRACT: With the deepening of global economic integration, maritime logistics has become the core pillar of international trade, carrying more than 80% of global trade volume. Among the factors ...

Google antitrust case shows that the AI Overviews ranking process does not use links as part of the ranking process. A sharp-eyed search marketer discovered the reason why Google’s AI Overviews showed ...

There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...

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.

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

Abstract: We introduce the directed Flip-Chain algorithm, which transforms the regular directed graph into another regular directed graph by swapping two adjacent vertices in the trail of directed ...

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 ...