I was wondering how would the forward and backward edges of residual capacities from the ford-fulkerson algorithm would translate in matrix? Would the upper triangular matrix be the forward edges and lower part be the backward edges?
How would residual capacities translate into an adjacency matrix from computing max flow?
220 views Asked by A. R At
1
There are 1 answers
Related Questions in ALGORITHM
- MCNP 6 - Doubts about cells
- Given partially sorted array of type x<y => first apperance of x comes before first of y, sort in average O(n)
- What is the algorithm behind math.gcd and why it is faster Euclidean algorithm?
- Purpose of last 2 while loops in the merge algorithm of merge sort sorting technique
- Dots and Boxes with apha-beta pruning
- What is the average and worst-case time complexity of my string searching algorithm?
- Building a School Schedule Generator
- TC problem 5-2:how to calculate the probability of the indicator random variable?
- LCA of a binary tree implemented in Python
- Identify the checksum algorithm
- Algorithm for finding a subset of nodes in a weighted connected graph such that the distance between any pair nodes are under a postive number?
- Creating an efficent and time-saving algorithm to find difference between greater than and lesser than combination
- Algorithm to find neighbours of point by distance with no repeats
- Asking code suggestions about data structure and algorithm
- Heap sort with multithreading
Related Questions in DATA-STRUCTURES
- Why is the runtime for this O(n)?
- Purpose of last 2 while loops in the merge algorithm of merge sort sorting technique
- What is the problem in my "sumAtBis" code?
- Asking code suggestions about data structure and algorithm
- What would be the most efficient way to store multiple sets of fixed arrays (std::vector)?
- About Suffix Trees features
- Getting wrong answer in Binary Search solution
- Are there techniques to mathematically compute the amount of searching in greedy graph searching?
- AVL tree Nth largest operation - How to have all my tests pass? JAVA
- Why does the map size change?
- Complexity in Union of disjointed sets with lists
- Hash collisions in Golang map resolving
- C++ ordered map optimized with index access
- How to sort this list of strings along with the strings and output the result as expected?
- Why deleting an element in a linkedlist costs O(1)
Related Questions in MAX-FLOW
- Decreasing the capacity of an edge in a flow graph
- What does negative flow on a reverse arc of a graph in Boykov-Kolmogorov max flow algorithm mean?
- How to update maximum flow models
- Max-Flow modeling problem. How to assign all flow to one edge
- Using boost::push_relabel_max_flow
- Calculating the minimum s,t-cut in a graph with parallel and antiparallel arcs in C++ using boost
- max-flow min_cut flow network
- Why in Edmonds Karp or Ford Fulkerson Algorithm the time complexity of BFS or DFS respectively is O(E) rather than O(V+E)?
- Minimizes the total time of 2 processors using max flow or min cut
- Partitioning a graph by the min cut given the `MaximumFlowResult` from `scipy.sparse.csgraph.maximum_flow`
- I have algorithm for finding maximum flow. Does it have an author or name?
- Maximize flow through a multigraph, where edges can be added subject to restrictions
- Solving Assignment Problem on a dynamically updating tasks and agents
- Max flow with vertex capacities without reduction
- Why can it recognize class SimplyMaxFlow but can't recognize its constructor function SimplyMaxflow() when i move my code from windows to linux?
Related Questions in FORD-FULKERSON
- Decreasing the capacity of an edge in a flow graph
- How to update maximum flow models
- maximum cardinality bipartite matching with some restriction
- Why in Edmonds Karp or Ford Fulkerson Algorithm the time complexity of BFS or DFS respectively is O(E) rather than O(V+E)?
- Minimizes the total time of 2 processors using max flow or min cut
- Scheduling T teacher having max S students into S slots
- trouble with graph edge representation
- I have algorithm for finding maximum flow. Does it have an author or name?
- Maximize flow through a multigraph, where edges can be added subject to restrictions
- Finding a path in residual network
- Algorithm question about assigning chores to children (ford-fulkerson)
- Max flow with vertex capacities without reduction
- How to save last BFS of Edmonds-Karp algorithm?
- Ford Fulkerson Algorithm DFS/BFS issue
- Max/min flow for scheduling slots
Popular Questions
- How do I undo the most recent local commits in Git?
- How can I remove a specific item from an array in JavaScript?
- How do I delete a Git branch locally and remotely?
- Find all files containing a specific text (string) on Linux?
- How do I revert a Git repository to a previous commit?
- How do I create an HTML button that acts like a link?
- How do I check out a remote Git branch?
- How do I force "git pull" to overwrite local files?
- How do I list all files of a directory?
- How to check whether a string contains a substring in JavaScript?
- How do I redirect to another webpage?
- How can I iterate over rows in a Pandas DataFrame?
- How do I convert a String to an int in Java?
- Does Python have a string 'contains' substring method?
- How do I check if a string contains a specific word?
Trending Questions
- UIImageView Frame Doesn't Reflect Constraints
- Is it possible to use adb commands to click on a view by finding its ID?
- How to create a new web character symbol recognizable by html/javascript?
- Why isn't my CSS3 animation smooth in Google Chrome (but very smooth on other browsers)?
- Heap Gives Page Fault
- Connect ffmpeg to Visual Studio 2008
- Both Object- and ValueAnimator jumps when Duration is set above API LvL 24
- How to avoid default initialization of objects in std::vector?
- second argument of the command line arguments in a format other than char** argv or char* argv[]
- How to improve efficiency of algorithm which generates next lexicographic permutation?
- Navigating to the another actvity app getting crash in android
- How to read the particular message format in android and store in sqlite database?
- Resetting inventory status after order is cancelled
- Efficiently compute powers of X in SSE/AVX
- Insert into an external database using ajax and php : POST 500 (Internal Server Error)
There are several different ways of encoding a graph as a matrix, so I don't think we could speak specifically of "the" way of doing this.
The most common way to encode a graph with weights / capacities on its edges as a matrix is as an adjacency matrix. To form it, number the nodes in the graph 1, 2, 3, ..., n. Then the entry at row i, column j corresponds to the capacity on the edge going from node i to node j. If the capacity is positive, then that entry would be positive. If the it's a residual edge, the value would be negative. And if there isn't an edge from the first node to the second, or if the edge is saturated, the value in the matrix would be zero.