Odd Vertex of Graph/Examples

Examples of Odd Vertices

Graph with All Odd Vertices

An example of a simple graph whose vertices are all odd includes the complete graph of order $4$:

Graph with 2 Odd Vertices

An example of a simple graph with $2$ odd vertices:

Graphs of Order $p$ with $n$ Odd Vertices

Examples of simple graphs of order $p$ with $n$ odd vertices for $0 \le n < p$ for various $p$ and $n$ are as follows:

Note that by the Handshake Lemma $n$ is always even.