All Differences between singly linked list and functional graph - singly-linked-list

A singly linked list can be considered a directed graph where each node has an outdegree of 1, just like a functional graph.
Currently, the only difference I can think of between the two is that a functional graph can be disconnected. I was wondering if there were any other differences between the two?

Related

Can I create a graph in c++ using STL?

Im a CS student, learning graphs algorithms theory (DFS, BFS, Dijkstra, Strongly connected components). My question is what is the easiest practical way to work with a graph DS in cpp: Is there any easy way to create a graph and run DFS on it? like an STL adjacency list and ready-to-run DFS using this adjacency list?
thanks :)

BOOST min-cut/max-flow on undirected graph with source and target

Can I use any algorithms from Boost on an undirected graph which must have a source and target (two nodes which must be in separate cuts). The preflow_relabel says it requires a directed graph. Stoer_wagner_min_cut says it works on undirected graphs but I can't find where it asks for a source/target node.
If not, anyone have any recomendations? I setup Lemon to work but I think they do max flow on an undirected graph by treating it as two directed edges one going each way. This causes runtime issues where the runtime is tied to the magnitude of the capacity of some edges.
And this is for University level computational biology research, I say this as I assume people might otherwise ask why we want source/target for undirected graph with max-flow/min-cut.
Thanks in adance.

What are the disadvantages of linked lists?

what are the disadvantages of linked list? Isn't this little time consuming ?
if yes,then how can we reduce the execution time/reaction time for getting the desired output?
Each data structure is meant for given set of purposes and is good in solving certain types of problems and bad in others. For instance a disadvantage of linked list is that you can not efficiently get the minimum element in it. But linked list is not meant to be used for that. There are numerous implementations of linked list and asking if it is little time consuming is pointless without specifying which implementation and for which operation.
Still no matter the question the answer to if yes,then how can we reduce the execution time/reaction time for getting the desired output? is: either use another implementation of linked list or use another data structure. No structure is better in being linked list than... linked list.

Distinguish directed and undirected graph

I need to write a graph using C++ and I have a little problem. My graph should be directed or undirected, weighted or unweighted, based on matrix or list all on user's choice. And distinguishing matrix from list graph is not a big deal, since it's two different classes, I got some problem with other parameters. The most obvious way to distinguish them is to make two bool variables and check them on every adding and deleting of vertex. It is quite obvious and easy to understand, but I doubt it's efficiency, because every time I add or delete vertex I have to do additional if. I also could write subclasses for it, but I seriously doubt if it's worth it.
Every library is okay to use, if it's not representing graph itself.
For directed and undirected best case is using bool variable for your graph, however You can assume your graph is weighted and directed, but for undirected edges add one edge from a→b and one edge from b→a. Also if there isn't weight function set its weight to 1.
But if you looking for graph library it depends to your programming language, but I'd suggest graph boost library which implemented fully in c++, and too many other people implement it partially in other languages.

Application of List Ranking algorithm

I've been reading about List Ranking Algorithm from many sources like
http://www.cs.cmu.edu/~scandal/alg/listrank.html
I found that it is useful in Parallel Tree Contraction,Euler tour of tree etc.but i'm not getting actual use of this list algorithm in above applications.Does anyone have any idea of how List ranking is useful in these or any algorithms?
The first thing I can imagine is that you can easily compute the height of all nodes in a tree. It's not exactly an algorithm, but can be pretty useful in some cases.