The Existence of Nonconstant Harmonic Functions on Infinite Vertex-Symmetric Graphs
- Trofimov, V.I.
DOIAbstract
AbstractIt is proved that any infinite locally finite vertex-symmetric graph admits a nonconstant harmonic function
AbstractIt is proved that any infinite locally finite vertex-symmetric graph admits a nonconstant harmonic function
Abstract. We prove the maximum principle and the comparison prin-ciple of p-harmonic functions via p...
AbstractWe show how results concerning infinite, locally finite, vertex-symmetric graphs can be rela...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
AbstractIt is proved that any infinite locally finite vertex-symmetric graph admits a nonconstant ha...
We prove that a lamplighter graph of a locally finite graph over a finite graph does not admit a non...
AbstractThis paper proves the local Lipschitz property for harmonic (or positive subharmonic) functi...
We obtain a new result concerning harmonic functions on infinite Cayley graphs $X$: either every non...
We obtain a new result concerning harmonic functions on infinite Cayley graphs X: either every nonco...
Abstract. It is shown there that an infinite connected planar graph with a uniform upper bound on ve...
Abstract. We construct examples of nonnegative harmonic functions on certain graded graphs: the Youn...
We study semifinite harmonic functions on the zigzag graph, which corresponds to Pieri's rule for th...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
We consider infinite weighted graphs $G$, i.e., sets of vertices $V$, and edges $E$ assumed countabl...
AbstractLet G be a graph on n vertices v1,v2,…,vn and let d(vi) be the degree (= number of first nei...
Abstract. We prove the maximum principle and the comparison prin-ciple of p-harmonic functions via p...
AbstractWe show how results concerning infinite, locally finite, vertex-symmetric graphs can be rela...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
AbstractIt is proved that any infinite locally finite vertex-symmetric graph admits a nonconstant ha...
We prove that a lamplighter graph of a locally finite graph over a finite graph does not admit a non...
AbstractThis paper proves the local Lipschitz property for harmonic (or positive subharmonic) functi...
We obtain a new result concerning harmonic functions on infinite Cayley graphs $X$: either every non...
We obtain a new result concerning harmonic functions on infinite Cayley graphs X: either every nonco...
Abstract. It is shown there that an infinite connected planar graph with a uniform upper bound on ve...
Abstract. We construct examples of nonnegative harmonic functions on certain graded graphs: the Youn...
We study semifinite harmonic functions on the zigzag graph, which corresponds to Pieri's rule for th...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
We consider infinite weighted graphs $G$, i.e., sets of vertices $V$, and edges $E$ assumed countabl...
AbstractLet G be a graph on n vertices v1,v2,…,vn and let d(vi) be the degree (= number of first nei...
Abstract. We prove the maximum principle and the comparison prin-ciple of p-harmonic functions via p...
AbstractWe show how results concerning infinite, locally finite, vertex-symmetric graphs can be rela...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
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