If a graph is Eulerian, then it must be:a.Connectedb.Disconnectedc.Planard.Bipartite
Question
If a graph is Eulerian, then it must be:a.Connectedb.Disconnectedc.Planard.Bipartite
Solution
To determine if a graph is Eulerian, we need to consider the following steps:
Step 1: Check if the graph is connected. If the graph is not connected, then it cannot be Eulerian.
Step 2: Check if the graph is planar. If the graph is not planar, then it cannot be Eulerian.
Step 3: Check if the graph is bipartite. If the graph is bipartite, then it can be Eulerian.
Therefore, if a graph is Eulerian, it must be connected, planar, and bipartite.
Similar Questions
The necessary and sufficient condition for a graph to be Eulerian is:a.All vertices have even degreeb.All vertices have odd degreec.All vertices have the same degreed.There is a path between every pair of vertices
For which of the following combinations of the degrees of vertices would the connected graph be Eulerian?Select one:a.1,2,3b.2,3,4c.2,4,5d.1,3,5
Euler Graphs
A simple undirected graph with all vertices having the same degree is called:a.Complete graphb.Bipartite graphc.Regular graphd.Eulerian graph
A simple directed graph in which every pair of distinct vertices is connected by an edge in both directions is called:a.Connected graphb.Eulerian graphc.Strongly connected graphd.Weakly connected graph
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