Parabolicity and Cheeger's constant on graphs Articles uri icon

publication date

  • July 2024

start page

  • 1

end page

  • 16

volume

  • 118

International Standard Serial Number (ISSN)

  • 1578-7303

Electronic International Standard Serial Number (EISSN)

  • 1579-1505

abstract

  • Herein we study p-parabolicity on graphs. We prove that if a uniform graph satisfies the (Cheeger) isoperimetric inequality, then it is non-p-parabolic for every (…). Moreover, we give sufficient conditions for a uniform graph to be non-parabolic and to be p-parabolic for every (...).

subjects

  • Mathematics

keywords

  • parabolicity; p-parabolicity; quasi-isometries; isoperimetric inequality