FindGraphIsomorphism[g_1, g_2] finds an isomorphism that maps the graph g_1 to g_2 by renaming vertices.
GraphQ
(Built-in Mathematica Symbol) GraphQ[g] yields True if g is a valid Graph object and False otherwise.
NotebookObject[fe, id] is an object that represents an open notebook in the front end.
ControllerInformation[] gives dynamically updated information on currently connected controller devices.
CayleyGraph[group] returns a Cayley graph representation of group.
LoopFreeGraphQ[g] yields True if the graph g has no self-loops, and False otherwise.
KatzCentrality[g, \[Alpha]] gives a list of Katz centralities for the vertices in the graph g and weight \[Alpha].KatzCentrality[g, \[Alpha], \[Beta]] gives a list of Katz ...
Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...
ClosenessCentrality[g] gives a list of closeness centralities for the vertices in the graph g.
DockedCells is an option for notebooks that gives a list of cells that are to be displayed "docked" at the top of the notebook.