I was reading up algorithms for finding the minimum spanning tree(in case of weighted graphs) and for finding if a graph has a hamiltonian path(which depends on the presence of a hamiltonian cycle)...

I am referring to Skienna's Book on Algorithms. The problem of testing whether a graph G contains a Hamiltonian path is NP-hard, where a Hamiltonian path P is a path that visits each vertex exactl...

I'm looking for an efficient algorithm that is able to find an as random as possible Hamiltonian path in a bidirectional N*M grid. Does anyone know where I can find, or how to go about constructin...

I know this has been asked before, but I did not find its answer in any of the posts. Can someone please suggest me an algorithm which enumerates ALL Hamiltonian paths in a graph? A little backgro...

There are a number of puzzles that are variant of the classic "7 Bridges of Konigsberg" puzzle where you must find a route through a set of rooms without ever using a door twice. Here is an exampl...

I read a lot about Complete Weighted Graph and Hamiltonian Tour topics in this site that asked by one of users, ask a lots of staff in my university, but couldn't get to a good answer, I change an ...

I ran into a question on a midterm exam. Can anyone clarify the answer? Problem A: Given a Complete Weighted Graph G, find a Hamiltonian Tour with minimum weight. Problem B: Given a Complete Weig...

So I came up with this implementation for solving knights tour for a 8*8 chess board. But seems like it is taking a long time running (so long that I have to stop it). But if I replace the dx, dy a...

I'm trying to implement a method for adding all possible Hamiltonian cycles to a list using recursion. So far my stopping condition isn't sufficient and I get "OutOfMemoryError: Java heap space" in...

I have a connected, non-directed, graph with N nodes and 2N-3 edges. You can consider the graph as it is built onto an existing initial graph, which has 3 nodes and 3 edges. Every node added onto t...

A few definitions first: Definition 1 A graph G = (V, E) is called ``dense'' if for each pair of non-adjacent vertices u and v, d(u) + d(v)>=n where n = |V| and d(*) denotes the degree of the ...

I've been stuck since yesterday with this problem. Unfortunately/fortunately this problem makes only about 0.5% of the my super huge (for me, a c++ newbie) algorithm thus the need for a library of ...

I have relatively small (40-80 nodes) cubic (3-regular) planar graphs, and I have to decide their Hamiltonicity. I am aware of the fact that this task is NP-complete, but I hope for asymptotically ...

What is dynamic programming algorithm for finding a Hamiltonian cycle in an undirected graph? I have seen somewhere that there exists an algorithm with O(n.2^n) time complexity.