Wrap with Annotation to specify an annotation for vertices:

Edges:

Specify an annotation for vertices:

Edges:

By default, EdgeLabels of the given graph is preserved:

Use EdgeLabels->labels to specify labels of highlighted edges:

By default, EdgeShapeFunction of the given graph is preserved:

Use EdgeLabels->f to specify edge shape functions of highlighted edges:

GraphHighlightStyle is applied after EdgeStyle:

Wrap with Style to style a highlighted edge:

By default, EdgeWeight of the given graph is preserved:

Use EdgeWeight->weights to replace edge weights of a graph:

GraphHighlight can be used to specify graph elements to highlight:

Get a list of built-in settings for GraphHighlightStyle:

Use built-in settings for GraphHighlightStyle:

Use GraphLayout to specify a layout:

By default, VertexCoordinates of the given graph is preserved:

Use VertexCoordinates->coords to specify vertex coordinates:

By default, VertexLabels of the given graph is preserved:

Use VertexLabels->labels to specify labels of highlighted vertices:

By default, VertexShape of the given graph is preserved:

Use VertexShape->shape to specify vertex shapes of highlighted vertices:

By default, VertexShapeFunction of the given graph is preserved:

Use VertexShapeFunction->shape to specify vertex shape functions of highlighted vertices:

By default, VertexSize of the given graph is preserved:

Use VertexSize->size to specify vertex sizes of highlighted vertices:

GraphHighlightStyle is applied after VertexStyle:

Wrap with Style to style a highlighted vertex:

By default, VertexWeight of the given graph is preserved:

Use VertexWeight->weights to replace vertex weights:

Highlight all edge covers for a cycle graph:

Enumerate all subsets of edges and select the covers:

Highlight covers:

Manipulate the neighborhood of vertices:

Manipulate the subgraph of a random set of vertices:

Manipulate the breadth-first tree, starting from each vertex:

Highlight a shortest path:

Highlight a Hamiltonian cycle:

Highlight an Eulerian cycle:

Highlight a clique:

Highlight a k-club:

Highlight a k-clan:

Highlight a k-plex:

Highlight communities:

Highlight partitions:

Highlight connected components:

Highlight k-core components: