The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.

There are no restrictions with regard to this, and the route, if optimal, is allowed to double back over nodes it has already visited.<BR><BR>I've been thinking about this problem in spurts for ...

Algorithm that speeds up comparison of graphs would be first major advance in three decades.

Away from finding a magical algorithm that can compare any graph, even in the worst-case scenario, the ISTA researchers sought to understand the philosophy of why certain algorithms seem to work ...

In their 2019 paper Holm and Rotenberg found that some drawings provide a more advantageous starting position for inserting an edge than others. These “good” drawings are only a few flips away from ...

A theoretical computer scientist has presented an algorithm that is being hailed as a breakthrough in mapping the obscure terrain of complexity theory, which explores how hard computational problems ...

Graph theory: Solution to '3 utilities problem' could lead to better computers Date: August 17, 2020 Source: University of Copenhagen Summary: Researchers thought that they were five years away ...

M.Sc. Andreas Grigorjew defends his doctoral thesis "Algorithms and Graph Structures for Splitting Network Flows, in Theory and Practice " on Wednesday the 19th of February 2025 at 13 o'clock in the ...