We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
The problem of finding a negative cycle in a weighted, directed graph is discussed here. First the algorithm for printing out a negative cycle reachable from the source s, with th...
We propose an approach that integrates and extends known techniques from different areas to handle and analyze a complex and large system described as a network of synchronized com...
Many AI tasks can be formalized as constraint satisfaction problems (CSPs), which involve finding values for variables subject to constraints. While solving a CSP is an NP-complet...
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...