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math.CO2022
Dual Cheeger constant for weighted graphs over ordered fields
Anna Muranova
We consider a dual Cheeger constant for finite graphs with edge weights from an arbitrary real-closed ordered field. We obtain estimates of in terms of…
math.SP2022
Discrete Laplace and transition operators over non-Archimedean ordered fields
Anna Muranova
We investigate properties of spectrum of normalized Laplacian for finite graphs over non-Archimedean ordered fields. We prove a Cheeger's inequality for first non-zero…
math-ph2022★ 3 cited
Networks with complex weights: Green function and power series
Anna Muranova, Wolfgang Woess
We introduce a Green function and analogues of other related kernels for finite and infinite networks whose edge weights are complex-valued admittances with positive real part. We…