# partial order

Also found in: Acronyms.

## partial order

[′par·shəl ¦ȯrd·ər] (mathematics)

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Also found in: Acronyms.

(mathematics)

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Recall that a comparability graph is a simple undirected graph G = G(V, E) for which there exists a partial order on V under which two different vertices u, v [member of] V are comparable if and only if {u, v} [member of] E.

As usual, [less than or equal to] denotes the natural partial order on S.

Let (X,p) be a complete dualistic partial metric space, [phi]: X [right arrow] R be a bounded below function and "[less than or equal to]" be the partial order induced by [phi].

R], if the partial order set S/L or S/R satisfies the minimal condition.

In this paper, we firstly discuss some properties of Green's ~ -relations, and then, define a natural partial order on semiabundant semigroups.

In this paper, we will introduce the natural partial order on U-semiabundant semigroups and describe the properties of such semigroups by using the natural partial order.

Partial order 1: - phase 3 project planning with the phases 31 preliminary project, 32 partial project contract 2: - partial phase 33 approval procedure / project phase 4 tendering with partial phases 41 tendering, bidding comparison, tendering - phase 5 implementation with partial phases 51 implementation project, 52 implementation and partial phase 53 commissioning , graduation

He covers a common framework for discrete structures, graphs and directed graphs, preorders and partial orders, hypergraphs, and complexes and multicomplexes.

Shipping has been expedited for the purchaser to ship full or partial orders to one or multiple dealership locations or customers.

For the Catalan numbers, applications dealing with lattice paths, graph theory, geometry, partial orders, sequences, pattern avoidance, partitions, and computer science are discussed.

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