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What is cyclomatic number of a graph is called?

cyclomatic number of a graph is e.n+1 where e is number of edge of graph and n is number of node in graoh g


What is the significance of a minimum edge cover in graph theory and how does it impact the overall structure of a graph?

A minimum edge cover in graph theory is a set of edges that covers all the vertices in a graph with the fewest number of edges possible. It is significant because it helps identify the smallest number of edges needed to connect all the vertices in a graph. This impacts the overall structure of a graph by showing the essential connections between vertices and highlighting the relationships within the graph.


Difference between a directed graph and an undirected graph in a computer program?

In an undirected graph, an edge is an unordered pair of vertices. In a directed graph, an edge is an ordered pair of vertices. The ordering of the vertices implies a direction to the edge, that is that it is traversable in one direction only.


Is it possible for the majority of a graph to contain the largest weighted edge?

Yes, it is possible for the majority of a graph to contain the largest weighted edge.


What is the difference between a node and an edge in a graph theory context?

In graph theory, a node (or vertex) represents a point or entity in a graph, while an edge represents a connection or relationship between two nodes.


What is the bottom edge of a line graph?

The x-axis


What European country did US fight against?

Nazi Germany (Tripartite Pact signer) Fascist Italy (Tripartite Pact signer) Slovakia (Tripartite Pact signer) Romania (Tripartite Pact signer) Hungary (Tripartite Pact signer) Yugoslavia (Tripartite Pact signer) Bulgaria (Tripartite Pact signer) Transylvania (Tripartite Pact signer) Croatia (Tripartite Pact signer)


Is colour-critical graph always connected?

Yes. If it was disconnected, you could remove an edge from the component with the lower chromatic number. This wouldn't affect the chromatic number of the first component.


What is directed multigraph?

multigraph is graph it is connect multi edge


What is the edge connectivity of a complete graph?

can't help about the edge connectivity but a graph is an animal you can see at the zoo - they stand out because they have very long necks and are generally decorated with brown oblongs.


What is a negative cycle in Graph?

In a weighed graph, a negative cycle is a cycle whose sum of edge weights is negative


When does Dijkstra's algorithm fail to find the shortest path in a graph?

Dijkstra's algorithm fails to find the shortest path in a graph when the graph has negative edge weights.