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Results tagged with graphs
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user 19943
Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.
4
votes
1
answer
173
views
Disproving well-quasi-order by providing an infinite anti-chain
More specifically, I've been trying to solve an exercise from the following lecture
which asks whether the class of $P_{3}\text{-free}$ graphs is a w.q.o or not on the induced subgraph operation $\leq … \rbrace$ with $G_{i}$ representing all $P_{3}\text{-free}$ graphs on $i$ vertices (and graphs in $G_{i}$ being represented in a touple-like alpharithmetic form $(a_{1},....,a_{i})$ such that $a_{1 …
- 355
4
votes
1
answer
520
views
Maximum bipartite matching with extra reward for covering certain sets
Consider the following variation of Bipartite Maximum Matching. As usual, we have a bipartite graph $G$. In addition, there is an additional collection of sets $S_1,S_2,\dots,S_k$, with each set $S …
CommunityBot
- 1
7
votes
How to solve an arrangement problem at the Archive Nationale of France using graph theory?
I think I have a solution to your problem. Hopefully I haven't misunderstood something in the definition of your problem. Here it goes:
I'm going to describe a Dynamic Programming approach. It's an …
- 474
2
votes
Algorithm for grid with obstacles and movement restriction
You can depict states of the graph as following:
(grid_position,|consecutive_left|,|consecutive_up|)
if you are at state ([2,3],3,0) then you have no other option but to go
up to ([3,3],0,1)
so you …
- 474
-1
votes
1
answer
144
views
Minimising two maximum edges in s-t path
I've been trying to solve the following problem:
Problem is the following:
Given a graph and a pair of nodes $s$, $t$ you have to find the path from $s$ to $t$ which minimises the sum of its two …
- 474