Results 11 to 20 of about 279,078 (329)
>k-homogeneous infinite graphs
14 pages, 2 ...
Ahlman, Ove
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Spectral partitions on infinite graphs [PDF]
Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well defined ...
Raffaella Burioni +2 more
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Unfolding of Finite Concurrent Automata [PDF]
We consider recognizable trace rewriting systems with level-regular contexts (RTL). A trace language is level-regular if the set of Foata normal forms of its elements is regular. We prove that the rewriting graph of a RTL is word-automatic.
Alexandre Mansard
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A new class of graceful graphs: k-enriched fan graphs and their characterisations
The Graceful Tree Conjecture stated by Rosa in the mid 1960s says that every tree can be gracefully labelled. It is one of the best known open problems in Graph Theory.
M. Haviar, S. Kurtulík
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Directed Polymers on Infinite Graphs [PDF]
We study the directed polymer model for general graphs (beyond $\mathbb Z^d$) and random walks. We provide sufficient conditions for the existence or non-existence of a weak disorder phase, of an $L^2$ region, and of very strong disorder, in terms of properties of the graph and of the random walk. We study in some detail (biased) random walk on various
Clément Cosco +2 more
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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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Graphs whose vertex set can be partitioned into a total dominating set and an independent dominating set [PDF]
A graph \(G\) whose vertex set can be partitioned into a total dominating set and an independent dominating set is called a TI-graph. We give constructions that yield infinite families of graphs that are TI-graphs, as well as constructions that yield ...
Teresa W. Haynes, Michael A. Henning
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On Ramsey-Minimal Infinite Graphs [PDF]
For fixed finite graphs $G$, $H$, a common problem in Ramsey theory is to study graphs $F$ such that $F \to (G,H)$, i.e. every red-blue coloring of the edges of $F$ produces either a red $G$ or a blue $H$. We generalize this study to infinite graphs $G$, $H$; in particular, we want to determine if there is a minimal such $F$.
Barrett, Jordan Mitchell +1 more
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On Hamilton decompositions of infinite circulant graphs [PDF]
The natural infinite analogue of a (finite) Hamilton cycle is a two-way-infinite Hamilton path (connected spanning 2-valent subgraph). Although it is known that every connected 2k-valent infinite circulant graph has a two-way-infinite Hamilton path ...
Bryant, Darryn +3 more
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Niedermeyer, F., Podewski, K.P.
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