The problem of finding a path in a graph that visits every vertex exactly once is called?

Related MCQs

• Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
• Let G be a directed graph whose vertex set is the set of numbers from 1 to 50. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. Calculate the minimum number of edges in a path in G from vertex 1 to vertex 50.
• An undirected graph G has bit strings of length 100 in its vertices and there is an edge between vertex u and vertex v if and only if u and v differ in exactly one bit position. Determine the ratio of the chromatic number of G to the diameter of G?
• If each and every vertex in G has degree at most 23 then G can have a vertex colouring of                      
• If each and every vertex in G has degree at most 23 then G can have a vertex colouring of                      
• G is a simple undirected graph and some vertices of G are of odd degree. Add a node n to G and make it adjacent to each odd degree vertex of G. The resultant graph is              
• Let G be an arbitrary graph with v nodes and k components. If a vertex is removed from G, the number of components in the resultant graph must necessarily lie down between            and            
• A graph in which every vertex has same degree is called _________graph.
• What is the time complexity for finding a Hamiltonian path for a graph having N vertices (using permutation)?
• A path of a graph is said to be ______ if it contains all the edges of the graph.