Using the graph below, determine if the sequence of vertices describes an Euler path (E.P.), an Euler circuit (E.C.), or neither. P , Q , R , S , T , U , P P,Q,R,S,T,U,P

Welcome back. For this problem, we'd like to use the graph below to determine if the sequence of vertices describes an oiler path, an oiler circuit, or neither. As a reminder, an oiler path is a path that traces each edge of the graph exactly once, and an oiler circuit is a circuit that traces each edge of the graph exactly once. And obviously, if we're in the case of neither, then it's neither an oiler path nor an oiler circuit. Let's start by tracing this out and seeing what we get. We start at vertex P and then we head up PQ to get to Q, across QR to get to R, down to S along RS, down to T along ST, across to U to get to U, and back up to P along UP. Now we can see that there are edges that are not along this circuit. It does not include QT or RU because these edges are not included, this circuit is not an oiler circuit or oiler path for that matter, so we do have neither an oiler circuit nor an oiler path. Great work.

Quantitative Reasoning 때문에 힘들어하고 계신가요?

Using the graph below, determine if the sequence of vertices describes an Euler path (E.P.), an Euler circuit (E.C.), or neither.P,Q,R,S,T,U,PP,Q,R,S,T,U,P

다음 시청

Using the graph below, determine if the sequence of vertices describes an Euler path (E.P.), an Euler circuit (E.C.), or neither.

$P, Q, R, S, T, U, P$