Questions tagged [dynamic-graphs]

Questions about changing input graphs or finding efficient algorithms and data structures to answer a certain query about the graph each time the input graph is modified

4 questions
3
votes
2 answers

Sorted degrees and maximal degree in dynamic graphs

Consider a sequence of vertex and edge additions and removals to an initially empty (undirected, simple) graph. Is it possible to update the ordered list of vertex degrees in constant time (and space), for each addition or removal? How? Is it easier…
1
vote
0 answers

How to compute the updated shortest paths given a set of edge insertions efficiently?

Let $G = (V, E)$ be a graph with edge weights $w: E \rightarrow \mathbb{R} \cup \{\infty\}$. Let $P := \{(a_i, b_i, w_i)\}$ be a set of tuples of nodes $a_i, b_i \in V$ with shortest distance $w_i$ from $a_i$ to $b_i$. We want to update the weights…
0
votes
1 answer

Is there an A*/D* variant for graph where path to destination is unraveled based on whether it's closer to the destination?

I have a few constraints in my path finding application for source to destination routing on a map: Server has a huge map and Client can only query a small chunk of it at a time because of data transfer and server processing time limits. Full map…
0
votes
1 answer

Dynamic routing algorithm

In static routing where the network parameters dont change, we can use Djikstra's or Bellman-Ford's algorithm to find the shortest path to send data from source to destination.However in dynamic routing how do we do that?