𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A chvátal–erdős type condition for hamiltonian graphs

✍ Scribed by Xiaoyun Lu


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
443 KB
Volume
18
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A 2-factor with two components of a grap
✍ Atsushi Kaneko; Kiyoshi Yoshimoto 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

## Abstract Chvátal and Erdös showed that a __k__‐connected graph with independence number at most __k__ and order at least three is hamiltonian. In this paper, we show that a graph contains a 2‐factor with two components, i.e., the graph can be divided into two cycles if the graph is __k__(≥ 4)‐co

One sufficient condition for hamiltonian
✍ Guantao Chen 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB 👁 1 views

## Abstract Let __G__ be a 2‐connected graph of order __n.__ We show that if for each pair of nonadjacent vertices __x__,__y__ ∈ __V(G)__, then __G__ is Hamiltonian.

A class of Hamiltonian regular graphs
✍ Paul Erdös; Arthur M. Hobbs 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 317 KB

## Abstract In this paper, we show that __n__ ⩾ 4 and if __G__ is a 2‐connected graph with 2__n__ or 2__n__−1 vertices which is regular of degree __n__−2, then __G__ is Hamiltonian if and only if __G__ is not the Petersen graph.

A sufficient condition for bipartite gra
✍ Xu, Baogang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 58 KB 👁 2 views

The total chromatic number χ T (G) of graph G is the least number of colors assigned to V (G) ∪ E(G) such that no adjacent or incident elements receive the same color. In this article, we give a sufficient condition for a bipartite graph G to have χ T (G) = ∆(G) + 1.

On graphs satisfying a local ore-type co
✍ Asratian, A. S.; Broersma, H. J.; Van den Heuvel, J.; Veldman, H. J. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 497 KB 👁 1 views

For an integer i, a graph is called an L,-graph if, for each triple of vertices u, u , w with and Khachatrian proved that connected Lo-graphs of order a t least 3 are hamiltonian, thus improving Ore's Theorem. All K1,3-free graphs are L1-graphs, whence recognizing hamiltonian L1-graphs is an NP-com