graph_is_simple: Is the graph simple (no parallel edges)
graph_is_directed: Is the graph directed
graph_is_bipartite: Is the graph bipartite
graph_is_connected: Is the graph connected
graph_is_tree: Is the graph a tree
graph_is_forest: Is the graph an ensemble of multiple trees
graph_is_dag: Is the graph a directed acyclic graph
graph_is_chordal: Is the graph chordal
graph_is_complete: Is the graph fully connected
graph_is_isomorphic_to: Is the graph isomorphic to another graph. See igraph::is_isomorphic_to()
graph_is_subgraph_isomorphic_to: Is the graph an isomorphic subgraph to another graph. see igraph::is_subgraph_isomorphic_to()