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Grafuri

Grafuri. Lanturi si cicluri. Lanturi. Numim lant un sir de varfuri de forma X1, X2,…, Xk cu proprietatea ca oricare 2 noduri alaturate sunt adiacente. 1. Sirul 1, 2, 6, 4, 1, 3, 5 este un lant. 2. 6. 4. 3. 5.

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Grafuri

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  1. Grafuri Lanturisicicluri

  2. Lanturi Numimlant un sir de varfuri de forma X1, X2,…, Xk cu proprietatea ca oricare 2 nodurialaturatesuntadiacente. 1 Sirul 1, 2, 6, 4, 1, 3, 5 este un lant. 2 6 4 3 5

  3. Numimlantelementar un lant cu proprietatea ca oricaredouanodurisuntdistincte. Numimlantsimplu un lant format din muchiidistincte. Lungimea maxima a unuilanteste∞. Sirul 1, 3, 6, 2, 4, 5 estelantelementarsilantsimplu. 1 2 6 4 3 5

  4. Cicluri Numimciclu un sir de forma X1, X2, X3, … Xk, X1 cu proprietatea ca estelantsioricaredouamuchiisuntdistincte. Numimcicluelementar un ciclu de forma X1, X2, … Xk, X1 cu proprietatea ca X1, X2, … Xkestemultime. Lungimeaunuilantsaucicluesteegala cu k-1/k. Lungimea maxima a unuiciclueste m.(maxim numarul de muchii)

  5. 1 2 6 4 3 5 Sirul 2, 4, 3, 6, 2 esteciclu. Sirul 5, 3, 6, 4, 2, 1, 5 estecicluelementar.

  6. 1 2 6 4 3 5 Un varf terminal sauizolat nu apartineunuiciclu.

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