Recently in several papers, graphs with maximum neighborhood orderings were characterized and turned out to be algorithmically useful. This paper gives a unified framework for characterizations of those graphs in terms of neighborhood and clique hypergraphs which have the Helly property and whose line graph is chordal. These graphs are dual (in the sense of hypergraphs) to chordal graphs. By us...

A dually nondeterministic refinement algebra with a negation operator is proposed. The algebra facilitates reasoning about totalcorrectness preserving program transformations and nondeterministic programs. The negation operator is used to express enabledness and termination operators through a useful explicit definition. As a small application, a property of action systems is proved employing t...

In this squib, we study some symmetry patterns that arise from introducing a notion of duality in categorial grammar. We first look at residuated and dually residuated families of operations, in syntax and semantics. Inspecting the monotonicity properties of these operations, we then identify a further set of (dually) Galois connected binary operations, hitherto uninvestigated in the linguistic...

In this article, the authors present findings on differences in Medicare costs between elderly beneficiaries who are dually eligible for Medicare and Medicaid and other Medicare beneficiaries. Data from the Medicare Current Beneficiary Survey (MCBS) were used in the analysis. After controlling for health and functional-status differences, the higher Medicare costs of dually eligible persons, re...

Bender, Richmond, and Wormald showed that in almost all planar 3-connected triangulations (or dually, 3-connected cubic maps) with n edges, the largest 4-connected triangulation (or dually, the largest cyclically 4-edge-connected cubic component) has about n/2 edges [Random Structures Algorithms, 7 (1995), pp. 273–285]. In this paper, we derive some general results about the size of the largest...

OBJECTIVES To measure the rates of hospitalization, readmission, and potentially avoidable hospitalization (PAH) in the Program of All-Inclusive Care for the Elderly (PACE). DESIGN Retrospective study. SETTING PACE PARTICIPANTS PACE enrollees. MEASUREMENTS Hospitalization and PAH rates were measured per 1,000 person-years. Readmission was defined as any return to the hospital within 30 da...

Substance abuse has been associated with cognitive dysfunction, such as problems with attention, reasoning, and memory. Certain psychiatric disorders also have been associated with cognitive difficulties, thus placing dually-diagnosed patients at high risk for cognitive impairment that could interfere with successful entry into or completion of therapy. Twenty-two dually-disordered inpatients w...

Dually eligible Medicare and Medicaid beneficiaries account for a disproportionately large share of both programs' expenditures.! The demand for services originates from the vulnerability of dually eligible patients both in terms of frail health status and personal economics. In addition, this group is growing larger and faster than other beneficiaries. The service and cost challenges presented...

Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ, τ)-divergence. A (ρ, τ)-divergence generates a dually flat structure in the manifold of positive measures, as well as in the manifold of positive-definite matrices. The class is composed of decomposable ...

Formal Concept Analysis (FCA) is a well-known supervised boolean data-mining technique rooted in Lattice and Order Theory, that has several extensions to, e.g., fuzzy idempotent semirings. At the heart of FCA lies Galois connection between two powersets. In this paper we extend formalism to include all four connections different semivectors spaces over semifields, at same time. The result K¯-fo...