offering powerful new methods to address long-standing conjectures in graph theory [3]. Planar Graph: A graph that can be drawn on a plane without any edges crossing. Graph Colouring: The process ...

Recent advances in synthesis methods have increasingly relied on graph theory to provide rigorous ... automatically generate complete sets of planar kinematic chains, offering valuable validation ...

The two rushed to draft a new paper. They presented it in June at the ACM Symposium on Theory of Computing, where they detailed an exponentially better method for checking whether a graph is planar.

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 ...

Agnes M. Herzberg and M. Ram Murty of Queen’s University in Kingston, Ontario have translated the problem of solving a sudoku puzzle into the language of graph theory. The 81 squares in the grid ...

Problem 1: Find a subquadratic algorithm for testing if a given graph is 1-planar. It is also easy to check in cubic ... This follows from Robertson and Seymour's theory of graph minors since the ...