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The button opens a ‘Save view’ dialogue:
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Name: graph name under which it will be displayed in the ‘Switch view’ drop-down.
Map type: graph display style
Visibility: when set to ‘Private’, the graph view will be hidden from other users in the Switch view’ drop-down.
Jira filter JQL: this field is automatically populated with a JQL filter currently applied to the graph.
Link Types: this field is automatically populated with a ‘Link types’ filter currently applied to the graph.
Background image: adds a background image to the graph. Select ‘Custom’ to upload your own image.
Issues without links: non-editable value inherited from the ‘Display’ setting of the current graph.
Issues outside search: non-editable value inherited from the ‘Display’ setting of the current graph.