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Canadian Journal of Mathematics, 1968
Let n be an ordinal. A partial ordering P of the ordinals T = T(n) = {w: w < n} is called natural if x P y implies x ⩽ y.A natural partial ordering, hereafter abbreviated NPO, of T(n) is thus a coarsening of the natural total ordering of the ordinals. Every partial ordering of a finite set 5 is isomorphic to a natural partial ordering.
Dean, R. A., Keller, G.
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Let n be an ordinal. A partial ordering P of the ordinals T = T(n) = {w: w < n} is called natural if x P y implies x ⩽ y.A natural partial ordering, hereafter abbreviated NPO, of T(n) is thus a coarsening of the natural total ordering of the ordinals. Every partial ordering of a finite set 5 is isomorphic to a natural partial ordering.
Dean, R. A., Keller, G.
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ACM Transactions on Database Systems, 2023
Partial order multiway search(POMS) is a fundamental problem that finds applications in crowdsourcing, distributed file systems, software testing, and more. This problem involves an interaction between an algorithm 𝒜 and an oracle, conducted on a directed acyclic graph 𝒢 known to both parties.
Lu Shangqi +3 more
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Partial order multiway search(POMS) is a fundamental problem that finds applications in crowdsourcing, distributed file systems, software testing, and more. This problem involves an interaction between an algorithm 𝒜 and an oracle, conducted on a directed acyclic graph 𝒢 known to both parties.
Lu Shangqi +3 more
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2000
Partial order reductions are a family of techniques for diminishing the statespace explosion problem for model-checking concurrent programs. They are based on the Observation that execution sequences of a concurrent program can be grouped together into equivalence classes that are indistinguishable by the property to be checked.
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Partial order reductions are a family of techniques for diminishing the statespace explosion problem for model-checking concurrent programs. They are based on the Observation that execution sequences of a concurrent program can be grouped together into equivalence classes that are indistinguishable by the property to be checked.
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1999
Many of the semirings originally studied, such as ℕ and ideal(R), have a partial-order structure in addition to their algebraic structure and, indeed, the most interesting theorems concerning them make use of the interplay between these two structures.
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Many of the semirings originally studied, such as ℕ and ideal(R), have a partial-order structure in addition to their algebraic structure and, indeed, the most interesting theorems concerning them make use of the interplay between these two structures.
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Partial Orderings in Chemistry
Journal of Chemical Information and Computer Sciences, 1997The cosmopolitan relevance of partially ordered mathematical structures in chemistry is argued. Many examples are briefly noted, including those involving chemical periodicities, reactivities, aromaticities, electronegativities, molecular branching, molecular shapes, symmetries, complexities, curve fittings, and more.
Klein, D.J, Babić, Darko
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Uncountable Homogeneous Partial Orders
MLQ, 2002A partially ordered set is called \(k\)-homogeneous if any isomorphism between \(k\)-element subsets extends to an automorphism. In this paper the \(k\)-homogeneous but not \((k+1)\)-homogeneous partially ordered sets are studied.
Droste, Manfred +2 more
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Partially Ordered Abelian Groupoids
Siberian Mathematical JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Pervukhin +2 more
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1997
Abstract We explore several connections between graphs and partially ordered sets. We define various graphs and digraphs associated with a partially ordered set, and explore how the properties of the partial order are reflected in these graphs.
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Abstract We explore several connections between graphs and partially ordered sets. We define various graphs and digraphs associated with a partially ordered set, and explore how the properties of the partial order are reflected in these graphs.
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Correlation Among Partial Orders
SIAM Journal on Algebraic Discrete Methods, 1983If A is a poset and P is a (finite) poset whose underlying set contains the elements of A, then A is said to occur in a linear extension L of P if each relation in A is realized in L; if L is chose...
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Partially ordered groups and partially ordered linear spaces.
1951zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kantorovich, L. V. +2 more
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