but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many algorithms always seem to work efficiently. But in theory, there is no guarantee.

This approach echoes the pioneering spirit of Leonard Euler, Father of graph theory whose “Seven Bridges of Königsberg” problem introduced foundational principles in the field. By conceptualizing ...

Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure. The Quanta Newsletter ...

One of the highlights in the Robertson-Seymour theory on graph minors is the finiteness (for each fixed surface S) of the set of the minimal forbidden minors for S. Theorem 7.0.1 (Robertson and ...

Dr. Leslie Kanthan is the co-founder and CEO of TurinTech, an AI optimisation company. He holds a Ph.D. in Machine Learning ...

What do you wonder? By The Learning Network A new collection of graphs, maps and charts organized by topic and type from our “What’s Going On in This Graph?” feature. By The Learning ...

All real-life graphs can be used to estimate or read-off values. The actual meaning of the values will depend on the labels and units shown on each axis. Sometimes: the gradient of the line or ...

Graphs are drawn to show experimental data obtained during scientific experiments. It is important to consider the following when drawing a graph: The x-axis should be labelled (with the ...