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theory and classify all infinite groups which admit cubic Cayley graphs of connectivity two in terms of splittings over a subgroup. A group G splits over a subgroup C if G is either a free product ...
and the discussion afterwards). The worry about infinite structures in (i) will prove unjustified for infinite unlabeled graphs (see the discussion of axiom E|$\infty$| in Section 4). Part B of the paper will dispel ...
correspond to actions. We will use the graph G in place of the transition function T that is traditionally used to characterize MDPs. In graph theoretic notation, G = (V, E), where V is the set of vertices ...
}}}}$| is the sum of the projection of |$\Delta _{\overline{{\mathcal{C}}}}$| onto the space of 2-level graphs with the two copies, called the primitive part, coming from |$\overline{{\mathcal{C}}} \cong{\mathcal{I ...
, which became the standard theory for phase and phase transition [2]. For example, in Ginzburg–Landau theory, the order parameter can be used to characterize different symmetry breaking phase: if the order ...
, and primitive organs such as hearts and eyes. DTFs switched on and off certain genes and their main role was mediating the cell- or tissue-specific effects of DPMs and hardwiring the molecular players of DPMs ...
, 51], as well as geometric questions in knot theory and related areas of physics [26, 44–46]. Graph complexes similar to |${\mathcal{D}}(m)$| appear in recent work generalizing this CDGA model from ...
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