On k-Path Pancyclic Graphs

• Autorzy: Zhenming Bi , Ping Zhang
• Języki publikacji: EN

Abstrakty

EN

For integers k and n with 2 ≤ k ≤ n − 1, a graph G of order n is k-path pancyclic if every path P of order k in G lies on a cycle of every length from k + 1 to n. Thus a 2-path pancyclic graph is edge-pancyclic. In this paper, we present sufficient conditions for graphs to be k-path pancyclic. For a graph G of order n ≥ 3, we establish sharp lower bounds in terms of n and k for (a) the minimum degree of G, (b) the minimum degree-sum of nonadjacent vertices of G and (c) the size of G such that G is k-path pancyclic

Słowa kluczowe

EN

Hamiltonian; panconnected; pancyclic; path Hamiltonian; path pancyclic

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2015
• Tom: 35
• Numer: 2
• Strony: 271-281

Daty

wydano

2015-05-01

otrzymano

2014-01-27

poprawiono

2014-06-25

zaakceptowano

2014-06-25

online

2015-04-18

Twórcy

autor

Zhenming Bi

• Department of Mathematics Western Michigan University Kalamazoo, MI 49008, USA

autor

Ping Zhang

• Department of Mathematics Western Michigan University Kalamazoo, MI 49008, USA

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1795