𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pairs of Hamiltonian circuits in 5-connected planar graphs

✍ Scribed by Joseph Zaks


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
763 KB
Volume
21
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Hamiltonian circuits in N2-locally conne
✍ ZdeněK Ryjáček 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 407 KB 👁 1 views

## Abstract There are many results concerned with the hamiltonicity of __K__~1,3~‐free graphs. In the paper we show that one of the sufficient conditions for the __K__~1,3~‐free graph to be Hamiltonian can be improved using the concept of second‐type vertex neighborhood. The paper is concluded with

Minors in large almost-5-connected non-p
✍ Ken-Ichi Kawarabayashi; John Maharry 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB

## Abstract It is shown that every sufficiently large almost‐5‐connected non‐planar graph contains a minor isomorphic to an arbitrarily large graph from one of six families of graphs. The graphs in these families are also almost‐5‐connected, by which we mean that they are 4‐connected and all 4‐sepa

Bounding the number of embeddings of 5-c
✍ Shigeru Kitakubo 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

A graph is said to be projective-planar if it is nonplanar and is embeddable in a projective plane. In this paper we show that the numbers of projectiveplanar embeddings (up to equivalence) of all 5-connected graphs have an upper bound c( 1120).

On the extremal number of edges in hamil
✍ Tung-Yang Ho; Cheng-Kuan Lin; Jimmy J.M. Tan; D. Frank Hsu; Lih-Hsing Hsu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 421 KB

a b s t r a c t Assume that n and δ are positive integers with 3 ≤ δ < n. Let hc(n, δ) be the minimum number of edges required to guarantee an n-vertex graph G with minimum degree δ(G) ≥ δ to be hamiltonian connected.