Recent questions tagged euler-graph

Consider the following statements:$\text{P}$: There exists no simple, undirected and connected graph with $80$ vertices and $77$ edges.$\text{Q}$: All vertices of Euler g...

Which of the following statements is/are TRUE?$S1$:The existence of an Euler circuit implies that an Euler path exists.$S2$:The existence of an Euler path implies that an...

The following graph has no Euler circuit becauseIt has $7$ vertices.It is even-valent (all vertices have even valence).It is not connected.It does not have a Euler circui...

The figure below describes the network of streets in a city where Motabhai sells $\text{pakoras}$ from his cart. The number next to an edge is the time (in minutes) taken...

Let $G$ be an undirected graph. An Eulerian cycle of $G$ is a cycle that traverses each edge of $G$ exactly once. A Hamiltonian cycle of $G$ is a cycle that traverses ea...

Is it possible that a disconnected graph be an Euler graph ?

Is this graph Euler?

Consider the given statementsS1: In a simple graph G with 6 vertices, if degree of each vertex is 2, then Euler circuit exists in G.S2:In a simple graph G, if degree of e...

Which of the following Graph has Euler Path but is not an Euler Graph?A. K1,1 B.K2,10 C.K2,11D.K10,11.

An $Euler$ circuit of an undirected graph is a circuit in which each edge of the graph appears exactly once. Which of the following undirected graphs must have an $Euler$...

Given the following graphs : Which of the following is correct ?$G_{1}$ contains Euler circuit and $(G_{2})$ does not contain Euler circuit.$(G_{1})$ does not cont...

An undirected graph possesses an eulerian circuit if and only if it is connected and its vertices areAll of even degreeAll of odd degreeOf any degreeEven in number