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matching gift

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1) "Matching" -- As to matching gift 2match Function: verb transitive verb 1 a : to encounter successfully as an antagonist b (1) : to set in competition or opposition (2) : to provide with a worthy competitor c : to set in comparison 2 : to join or give in marriage 3 a (1) : to put in a set possessing equal or harmonizing attributes (2) : to cause to correspond : SUIT <matched programs to local needs> b (1) : to be the counterpart of; also : to compare favorably with (2) : to harmonize with <the jacket matched the pants> c : to provide with a counterpart d : to provide funds complementary to <employers may match the employee contribution -- D. J. Miller> 4 : to fit together or make suitable for fitting together 5 a : to flip or toss (coins) and compare exposed faces b : to toss coins with intransitive verb : to be a counterpart - match·able /'ma-ch&-b&l/ adjective - match·er noun Pronunciation Symbols This article is about mathematical matchings. For other senses of this word, see matching (disambiguation). In the mathematical discipline of graph theory a matching or edge independent set in a graph is a set of edges without common vertices. It may also be an entire graph consisting of edges without common vertices. 1 Definition 2 Matchings in bipartite graphs 3 Notes 4 Properties 5 See also 6 References Given a graph G = (V,E), a matching M in G is a set of pairwise non-adjacent edges; that is, no two edges share a common vertex. We say that a vertex is matched if it is incident to an edge in the matching. Otherwise the vertex is unmatched. A maximum matching is a matching that contains the largest possible number of edges. There may be many maximum matchings. The matching number of a graph is the size of a maximum matching. A maximal matching is a matching M of a graph G with the property that if any edge not in M is added to M, it is no longer a matching. In other words, a matching M of a graph G is maximal if every edge in G has non-empty intersection with at least one edge in M. Note that every maximum matching must be maximal, but not every maximal matching must be maximum. A perfect matching is a matching which covers all vertices of the graph. That is, every vertex of the graph is incident to exactly one edge of the matching. Every perfect matching is both maximum and maximal. In some literature, the term complete matching is used. Given a matching M, an alternating path is a path in which the edges belong al..." 2) "Gift" -- As to matching gift 1gift Pronunciation: 'gift Function: noun Etymology: Middle English, from Old Norse, something given, talent; akin to Old English giefan to give 1 : a notable capacity, talent, or endowment 2 : something voluntarily transferred by one person to another without compensation 3 : the act, right, or power of giving synonyms GIFT, FACULTY, APTITUDE, BENT, TALENT, GENIUS, KNACK mean a special ability for doing something. GIFT often implies special favor by God or nature <the gift of singing beautifully>. FACULTY applies to an innate or less often acquired ability for a particular accomplishment or function <a faculty for remembering names>. APTITUDE implies a natural liking for some activity and the likelihood of success in it <a mechanical aptitude>. BENT is nearly equal to APTITUDE but it stresses inclination perhaps more than specific ability <a family with an artistic bent>. TALENT suggests a marked natural ability that needs to be developed <has enough talent to succeed>. GENIUS suggests impressive inborn creative ability <has no great genius for poetry>. KNACK implies a comparatively minor but special ability making for ease and dexterity in performance <the knack of getting along>. Pronunciation Symbols Love gift Man presents a cut of meat to a youth with a hoop. Athenian red-figure vase, ca. 460 BCE A gift or present is the transfer of money, goods, etc., without the direct compensation that is involved in trade, although possibly involving a social expectation of reciprocity, or a return in the form of prestige or power. In many human societies, the act of mutually exchanging gifts contributes to social cohesion. Economists have elaborated the economics of gift-giving into the notion of a gift economy. By extension the term gift can refer to anything that makes the other more happy or less sad, especially as a favour, including forgiveness and kindness (even when the other is not kind). 1 Presentation 2 Occasions 3 Kinds of gifts 4 Religious views 5 Figurative meaning 5.1 Super Powers 6 See also 7 Notes 8 Further reading When material objects are given as gifts, in many cultures they are traditionally packaged in some manner. For example, in Western culture, gifts are often wrapped in wrapping paper and accompanied by a gift note which may note the occasion, the giftee's name, and the giver's name. In Chinese culture, red wrapping connotes luck. Gifts under a Christmas tree. The occasion may be: Expression of love or friendship Expression of gratitude for a gift received Expression of piety, in the form of charity Expression of solidarity, in the form of mutual aid To share wealth To offset misfortune Offering travel souvenirs Custom, on occasi..." 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