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16  Articles
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The isomorphism problem of Cayley graphs has been well studied in the literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups. In this paper, we generalize these to vertex-transitive graphs and establish parallel results. Some interes... see more

As a generalization of isomorphisms of graphs, we consider path-congruences, that is maps which preserve the number of paths of any length.We construct families of pairs of non-isomorphic trees with the same path-table.

The isomorphism problem of Cayley graphs has been well studied in the literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups. In this paper, we generalize these to vertex-transitive graphs and establish parallel results. Some interes... see more

We show that isomorphism of effect algebras preserves properties of effect algebras derived from effect algebraic sum ? of elements. These are partial order, order convergence, order topology, existence of states and other important properties. However, t... see more

A finite group GG is a DCI-group if, whenever SS and S'S' are subsets of GG with the Cayley graphs Cay(G,S)(G,S) and Cay(G,S')(G,S') isomorphic, there exists an automorphism f\varphi of GG with f(S)=S'\varphi(S)=S'. It is a CI-group if this condition hold... see more

This contribution explores in how far emerging interactive configurations can be regarded as isomorphisms of essayistic writing in the digital. The framework of thought is based on considerations on essayistic writing (Montaigne, Benjamin, Adorno), ‘new m... see more

Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.

This paper extends Curry-Howard interpretations of Intuitionistic Logic (IL) and Intuitionistic Linear Logic (ILL) with rules for recursion. The resulting term languages, the rec-calculus and the linear rec-calculus respectively, are given soundcategorica... see more

It is known that ordinary isomorphisms (associativity and commutativityof "times", isomorphisms for "times" unit and currying)provide a complete axiomatisation for linear isomorphism of types.One of the reasons to consider linear isomorphism of types inst... see more

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