A famous problem at the intersection of topology and combinatorial graph theory is the Utility Problem. Say you have three houses and three utilities and you need to connect each house to each utility ...

In its traditional definition, an algorithm means a set of instructions that have been prepared beforehand to solve a particular problem. Algorithms could be an optimum simple procedure or a complex ...

Algorithms have taken on an almost mythical significance in the modern world. They determine what you see on social media and when browsing online, help form people’s belief systems, and impact the ...

This repository contains my solutions and notes for the NPTEL Programming, Data Structures And Algorithms Using Python course. The course covers fundamental, intermediate programming, data structures, ...

The propositional satisfiability problem (SAT) was the first to be shown NP-complete by Cook and Levin. SAT remained the embodiment of theoretical worst-case hardness. However, in stark contrast to ...

Network modeling, from the ecological to the molecular scale has become an essential tool for studying the structure, dynamics and complex behavior of living systems. Graph representations of the ...