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You may find this link helpful. Though perhaps connectedness isn't heritable, so be warned:
Remember that the property argument does not behave as a filter, except for appropriately inheritable properties:
Still, on that page you should find a syntax that helps you.
 Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
 
                
                Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.