Cyclic automorphisms of the countable universal ultrahomogeneous graph are investigated using methods of Baire category and measure theory. This leads to the study of random sumfree sets; it is shown that the probability that such a set consists entirely of odd numbers is strictly positive, and bounds are given.</p
Abstract. Let H be a given finite (possibly empty) family of connected graphs, each containing a cyc...
We consider the problem of characterizing the finitely additive probability measures on the definabl...
The theory of random graphs, that is graphs generated by some prescribed random process, gained popu...
We establish links between countable algebraically closed graphs and the endomorphisms of the counta...
Motivated by models for real-world networks such as the web graph, we consider digraphs formed by ad...
AbstractFor a class of countably infinite ultrahomogeneous structures that generalize edge-colored g...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
AbstractCameron introduced a natural probability measure on the set {crop of sum-free sets, and aske...
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
We show that if S1 is a strongly complete sum-free set of positive integers, and if S0 is a finite s...
Abstract. Complex real-world networks such as the web graph are often mod-elled as directed graphs e...
AbstractWe use the theory of graph limits to study several quasi-random properties, mainly dealing w...
AbstractWe consider embeddings between infinite graphs. In particular, we establish that there is no...
A countable graph is ultrahomogeneous if every isomorphism between finite induced subgraphs can be e...
We show that if S1 is a strongly complete sum-free set of positive integers, and if S0 is a finite s...
Abstract. Let H be a given finite (possibly empty) family of connected graphs, each containing a cyc...
We consider the problem of characterizing the finitely additive probability measures on the definabl...
The theory of random graphs, that is graphs generated by some prescribed random process, gained popu...
We establish links between countable algebraically closed graphs and the endomorphisms of the counta...
Motivated by models for real-world networks such as the web graph, we consider digraphs formed by ad...
AbstractFor a class of countably infinite ultrahomogeneous structures that generalize edge-colored g...
AbstractHodges et al. showed that the countable random graph has the small index property. The stron...
AbstractCameron introduced a natural probability measure on the set {crop of sum-free sets, and aske...
Hodges et al. showed that the countable random graph has the small index property. The stronger resu...
We show that if S1 is a strongly complete sum-free set of positive integers, and if S0 is a finite s...
Abstract. Complex real-world networks such as the web graph are often mod-elled as directed graphs e...
AbstractWe use the theory of graph limits to study several quasi-random properties, mainly dealing w...
AbstractWe consider embeddings between infinite graphs. In particular, we establish that there is no...
A countable graph is ultrahomogeneous if every isomorphism between finite induced subgraphs can be e...
We show that if S1 is a strongly complete sum-free set of positive integers, and if S0 is a finite s...
Abstract. Let H be a given finite (possibly empty) family of connected graphs, each containing a cyc...
We consider the problem of characterizing the finitely additive probability measures on the definabl...
The theory of random graphs, that is graphs generated by some prescribed random process, gained popu...