Further questions may come to mind ... a partial coloring of the graph into a proper coloring. Herzberg and Murty used techniques from graph theory to show that a mathematically simple formula ...

Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular ...

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many algorithms always ...

They introduced him to graph theory, and he comes back to it now and then ... Perhaps the most famous graph coloring question is the four-color theorem. It states that, assuming every country is one ...

My doctoral thesis work was one example of this, but there are many more questions to ask ... doughnuts and colouring: some problems in graph theory" at 18:30 on October 16th at the Edmund Burke ...

Graph coloring problems tend to be simple to state, but they are often enormously hard to solve. Even the question that launched the field — Do four colors suffice to color any map? — took more than a ...

Every paper they write bears joint authorship; every intern candidate interviewed receives questions from both ... Borgs's prior university labors on graph theory and phase transitions have ...

Simplicial complexes connect topology to graph theory, and, like hypergraphs, they raise compelling mathematical questions that will drive future investigations. For example, in topology ...