Properties preserved under isomorphism

... isomorphic and homomorphic relationships to each other. This is an idea ... graphs to help organize the data; and, perhaps, the increased use of ... To capture incomplete information and concurrency, we use dependency graphs. A dependency graph is a directed acyclic graph over the set of game variables: an ... Dec 21, 2022 ... This information allows for computing various generalizations ... These two graphs have the same line graph, but they are not isomorphic. In mathematics, an isomorphism is a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse ... Jul 31, 2020 ... is only required to be a labeled graph isomorphic to Gn, so that only the structural information is preserved. We again seek to characterize ... May 3, 2024 ... It relies on the largest shared structural information between two graphs. ... graphs does not always require isomorphism, as it is the case for ... ... information distortions between multidimensional networks and their isomorphic graphs. 6. Conclusions. This article presented mathematical results on network ... ... isomorphic: there exists a linear bijection φ : RΣ×Σ. → Herm(X). (1.100) with ... statistics they generate. More precisely, the knowledge of the ... A broadcasting with side information problem on graphs (BSIP-G) in- stance ... isomorphic to the vector space Q k i=1. Vi via the mapping (v1,...,vk) 7 ... Jul 6, 2022 ... by informational graphics (tables and graphs) that display associated data and ... defined by test development staff to yield isomorphic ...