Results 61 to 70 of about 1,555,658 (364)
Linearly bounded infinite graphs [PDF]
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural class of infinite automata representing their observable computational behavior, called linearly bounded graphs. These automata naturally accept the same languages as the linearly bounded machines defining them. We present some of
Carayol, Arnaud, Meyer, Antoine
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>k-homogeneous infinite graphs
In this article we give an explicit classification for the countably infinite graphs $\mathcal{G}$ which are, for some $k$, $\geq$$ k$-homogeneous. It turns out that a $\geq$$k-$homogeneous graph $\mathcal{M}$ is non-homogeneous if and only if it is ...
Ahlman, Ove
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Investigation of continuous-time quantum walk by using Krylov subspace-Lanczos algorithm [PDF]
In papers\cite{js,jsa}, the amplitudes of continuous-time quantum walk on graphs possessing quantum decomposition (QD graphs) have been calculated by a new method based on spectral distribution associated to their adjacency matrix. Here in this paper, it
Aharonov +32 more
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Edge- and vertex-reinforced random walks with super-linear reinforcement on infinite graphs [PDF]
In this paper we introduce a new simple but powerful general technique for the study of edge- and vertex-reinforced processes with super-linear reinforcement, based on the use of order statistics for the number of edge, respectively of vertex, traversals.
Codina Cotar, Debleena Thacker
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Classes of graphs with restricted interval models [PDF]
We introduce q-proper interval graphs as interval graphs with interval models in which no interval is properly contained in more than q other intervals, and also provide a forbidden induced subgraph characterization of this class of graphs.
Andrzej Proskurowski, Jan Arne Telle
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The Ihara zeta function for infinite graphs [PDF]
We put forward the concept of measure graphs. These are (possibly uncountable) graphs equipped with an action of a groupoid and a measure invariant under this action.
D. Lenz, Felix Pogorzelski, M. Schmidt
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AbstractA theorem is established that provides necessary and sufficient conditions in order that a locally finite bipartite graph have a subgraph whose valences lie in prescribed intervals. This theorem is applied to the study of flows in locally finite directed graphs.
Jon Folkman, D.R. Fulkerson
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Topological Infinite Gammoids, and a New Menger-Type Theorem for Infinite Graphs [PDF]
Answering a question of Diestel, we develop a topological notion of gammoids in infinite graphs which, unlike traditional infinite gammoids, always define a matroid.As our main tool, we prove for any infinite graph $G$ with vertex-sets $A$ and $B$, if ...
J. Carmesin
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The infimum of the least eigenvalues of all finite induced subgraphs of an infinite graph is defined to be its least eigenvalue. In [P.J. Cameron, J.M. Goethals, J.J. Seidel and E.E. Shult, Line graphs, root systems, and elliptic geometry, J. Algebra 43 (
Vijayakumar Gurusamy Rengasamy
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On the spectrum of an infinite graph
We exhibit an example of an infinite locally finite graph such that its adjacency operator is not self-adjoint. This gives a negative answer to a conjecture of \textit{B. Mohar} [Linear Algebra Appl. 48, 245-256 (1982; Zbl 0502.05040)].
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