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Gi?(V,X)
?en. 1
Caaa?a1 Aey iai?eaioe?iaaiiiai a?aoa G, annioee?iaaiiiai n a?aoii Gi? auienaou (ia?aioia?iaaa aa?oeiu) :
a) iii?anoai aa?oei V e iii?anoai ?aaa? X, G(V,X);
a) nienee nia?iinoe;
a) iao?eoo eioeaaioiinoe;
a) iao?eoo aania.
a) Aey a?aoa Gi? auienaou iao?eoo nia?iinoe.
Ioia?aoey aa?oei - ni. ?en 1
a) V={0,1,2,3,4,5,6,7,8,9}
X={{0,1},{0,2},{0,3},{1,2},{1,4},{1,5},{1,6},{1,7},{2,3},{2,5},{3,8},{3,9},{4,5},{4,6},{5,3},{5,6},{5,8},{6,9},{7,8},{7,9},{8,9}}
A aaeuiaeoai ?aa?a aoaoo iaicia?aouny iiia?aie a oeacaiiii ii?yaea ia?eiay n ioey.
a) A0={1,2,3};
A1={0,2,4,5,6,7};
A2={0,1,3,5};
A3={0,2,5,8,9};
A4={1,5,6};
A5={1,2,3,4,6,8};
A6={1,4,5,9};
A7={1,8,9};
A8={1,3,5,7,9};
A9={3,6,7,8};
a) Ioia?aoey aa?oei e ?aaa? niioaaonoaaiii i. a)
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1
1
0
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5
0
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1
0
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1
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6
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1
a) Iieacaia aa?oiyy iieiaeia iao?eou, o.e. iao?eoa aania iai?eaioe?iaaiiiai a?aoa neiiao?e?ia ioiineoaeuii aeaaiie aeaaiiaee.
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a) Iao?eoa nia?iinoe aey a?aoa Gi?.
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Caaa?a 2 Iaeoe aeaiao? D(G), ?aaeon R(G), eiee?anoai oaio?ia Z(G) aey a?aoa G ; oeacaou aa?oeiu, yaey?ueany oaio?aie a?aoa G.
D(G)=2
R(G)=2
Z(G)=10
Ana aa?oeiu a?aoa G(V,X) yaey?ony oaio?aie.
Caaa?a 3 Ia?aioia?iaaou aa?oeiu a?aoa G, eniieucoy aeai?eoiu:
a) "iienea a aeoaeio";
a) "iienea a oe?eio".
Enoiaiay aa?oeia - .
a)
a)
Caaa?a 4 Eniieucoy aeai?eoi I?eia iaeoe inoia ieieiaeuiiai aana a?aoa G. auienaou eia oeeaaee ia ieineinoe iaeaaiiiai aa?aaa, i?eiya ca ei?iaao? aa?oeio .
Aan iaeaaiiiai aa?aaa - 14.
Eia oeeaaee aa?aaa: 000011000001111111.
Caaa?a 5 Eniieucoy aeai?eoi Aaeeno?a iaeoe aa?ai e?ao?aeoeo iooae ec aa?oeiu a?aoa G.
Aan iaeaaiiiai iooe - 8.
Caaa?a 6 Eniieucoy aeai?eoi Oi?aa - Oaeea?niia, iaeoe iaeneiaeuiue iioie ai acaaoaiiie aaoiie?niie i?eaioe?iaaiiie naoe {Gi? , , w}. Oeacaou ?ac?ac ieieiaeuiiai aana.
Iineaaiaaoaeuiinou ianuuaiey naoe (ianuuaiiua ?aa?a ioia?aiu e?o?a?eaie):
1-e oaa
2-e oaa
3-e oaa
4-e oaa
5-e oaa
6-e oaa
7-e oaa
Ieii?aoaeuii eiaai:
Eae aeaii ec ?enoiea, ?aa?a {6,9},{7,9},{3,9}, ieoa?uea aa?oeio , ianuuaiiu, a inoaaoaany ?aa?i {8,9}, ieoa?uaany io aa?oeiu 8, ia ii?ao iieo?eou aieuoaa cia?aiea aaniaie ooieoee, oae eae ianuuaiiu ana ?aa?a, ieoa?uea aa?oeio 8. A?oaeie neiaaie - anee ioa?ineou ana ianuuaiiua ?aa?a, oi aa?oeia iaainoe?eia, ?oi yaeyaony i?eciaeii iaeneiaeuiiai iioiea a naoe.
Iaeneiaeuiue iioie a naoe ?aaai 12.
Ieieiaeuiue ?ac?ac naoe ii ?eneo ?aaa?: {{0,1},{0,2},{0,3}}. Aai i?iioneiay niiniaiinou ?aaia 16
Ieieiaeuiue ?ac?ac naoe ii i?iioneiie niiniaiinoe: {{6,9}, {7,9}, {3,9}, {3,8}, {5,8}, {7,8}}. Aai i?iioneiay niiniaiinou ?aaia 12.
Caaa?a 7 (Caaa?a i ii?oaeuiia) Auienaou noaiaiio? iineaaiaaoaeuiinou aa?oei a?aoa G.
a) Oeacaou a a?aoa G Yeea?iao oaiu. Anee oaeiaie oaie ia nouanoaoao, oi a a?aoa G aiaaaeou iaeiaiuoaa ?enei ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa ii?ii auei oeacaou Yeea?iao oaiu.
a) Oeacaou a a?aoa G Yeea?ia oeee. Anee oaeiai oeeea ia nouanoaoao, oi a a?aoa G aiaaaeou iaeiaiuoaa ?enei ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa ii?ii auei oeacaou Yeea?ia oeee.
Noaiaiiay iineaaiaaoaeuiinou aa?oei a?aoa G:
(3,6,4,5,3,6,4,3,4,4)
a) Aey nouanoaiaaiey Yeea?iaie oaie aiionoeii oieuei aaa aa?oeiu n ia?aoiuie noaiaiyie, iiyoiio iaiaoiaeii aiaaaeou iaii ?aa?i, nea?ai ia?ao aa?oeiaie 4 e 7.
Iieo?aiiay Yeea?iaa oaiu: 0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3.
Noaia Yeea?iaie oaie (aiaaaeaiiia ?aa?i iieacaii ioieoe?ii):
a) Aiaeiae?ii ioieoo a) aiaaaeyai ?aa?i {3,0}, caiueay Yeea?iao oaiu (i?e yoii auiieiyy oneiaea nouanoaiaaiey Yeea?iaa oeeea - ?aoiinou noaiaiae anao aa?oei). ?aa?i {3,0} e?aoiia, ?oi ia i?ioeai?a?eo caaaie?, ii i?e iaiaoiaeiinoe ii?ii aaanoe ?aa?a {0,7} e {4,3} aianoi ?aiaa aaaaaiiuo.
Iieo?aiiue Yeea?ia oeee: 0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3,0.
Noaia Yeea?iaa oeeea (aiaaaeaiiua ?aa?a iieacaiu ioieoe?ii):
Caaa?a 8
a) Oeacaou a a?aoa Gi? Aaieeuoiiia ioou. Anee oaeie ioou ia nouanoaoao, oi a a?aoa Gi? eciaieou i?eaioaoe? iaeiaiuoaai ?enea ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa Aaieeuoiiia ioou ii?ii auei oeacaou.
a) Oeacaou a a?aoa Gi? Aaieeuoiiia oeee. Anee oaeie oeee ia nouanoaoao, oi a a?aoa Gi? eciaieou i?eaioaoe? iaeiaiuoaai ?enea ?aaa? oaeei ia?acii, ?oiau a iiaii a?aoa Aaieeuoiiia oeee ii?ii auei oeacaou.
a) Aaieeuoiiia ioou (?aa?a n eciaiaiiie i?eaioaoeae iieacaiu ioieoe?ii):
a) Aaieeuoiiia oeee (?aa?a n eciaiaiiie i?eaioaoeae iieacaiu ioieoe?ii):
Caaa?a 9 (Caaa?a i eiiieaiy?a?a) Aai iieiue i?eaioe?iaaiiue neiiao?e?aneee a?ao n aa?oeiaie x1, x2,...xn.Aan aoae xixj caaai yeaiaioaie Vij iao?eou aania. Eniieucoy aeai?eoi iaoiaa aaoaae e a?aieo, iaeoe Aaieeuoiiia eiioo? ieieiaeuiiai (iaeneiaeuiiai) aana. Caaa?o ia iaeneiaeuiia cia?aiea Aaieeuoiiiaa eiioo?a naanoe e caaa?a ia ieieiaeuiia cia?aiea, ?anniio?aa iao?eoo n yeaiaioaie ,aaa . Auiieieou ?enoiie.
Enoiaiay oaaeeoa.
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11
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Oaaeeoa A 14
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