What is the maximum flow of a network?
It is defined as the maximum amount of flow that the network would allow to flow from source to sink. Multiple algorithms exist in solving the maximum flow problem. Two major algorithms to solve these kind of problems are Ford-Fulkerson algorithm and Dinic’s Algorithm.
How many constraints does maximum flow have?
Explanation: A flow is a mapping which follows two constraints- conservation of flows and capacity constraints.
What type of graph represents round robin tournament?
(a) A tournament graph is a directed graph with the property that no edge connects a vertex to itself, and between any two vertices there is at most one edge. (b) A complete (or round-robin) tournament graph is a tournament graph with the property that between any two distinct vertices there is exactly one edge.
What will be the undirected graph of a tournament?
A tournament is a directed graph (digraph) obtained by assigning a direction for each edge in an undirected complete graph. If every player beats the same number of other players (indegree = outdegree), the tournament is called regular.
Is a tournament graph acyclic?
Any orientation of a complete graph is referred to as a tournament. An acyclic orientation of a graph is an orientation that does not contain any oriented cycles. A directed path (resp. directed cycle) is a path (resp.
What is the difference between round robin and knockout tournament?
Unlike a knockout tournament where half of the participants are eliminated after each round, a round robin requires one round less than the number of participants.
Are tournament graphs transitive?
Definitions: A tournament is an orientation of a complete graph. A tournament is transitive if it has no cycles. The vertices of a transitive tournament can be placed vertically so that all the arcs are directed downward.
Is Tournament strongly connected?
A tournament is strongly connected if for every pair of vertices u, v there exists a directed path from u to v and a directed path from v to u. For any integer k we call a tournament T strongly k-connected if |V (T)| > k and the removal of any set of fewer than k vertices results in a strongly connected tournament.