𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On packing 3-vertex paths in a graph

✍ Scribed by Atsushi Kaneko; Alexander Kelmans; Tsuyoshi Nishimura


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
276 KB
Volume
36
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On paths in planar graphs
✍ Sanders, Daniel P. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 93 KB πŸ‘ 2 views

This paper generalizes a theorem of Thomassen on paths in planar graphs. As a corollary, it is shown that every 4-connected planar graph has a Hamilton path between any two specified vertices x, y and containing any specified edge other than xy.

A note on vertex pancyclic oriented grap
✍ Bang-Jensen, JοΏ½rgen; Guo, Yubao πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 185 KB πŸ‘ 1 views

Let D be an oriented graph of order n β‰₯ 9, minimum degree at least n -2, such that, for the choice of distinct vertices x and y, . Graph Theory 18 (1994), 461-468) proved that D is pancyclic. In this note, we give a short proof, based on Song's result, that D is, in fact, vertex pancyclic. This also

Optimal tree 3-spanners in directed path
✍ Le, HoοΏ½ng-Oanh; Le, Van Bang πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 122 KB πŸ‘ 1 views

In a graph G, a spanning tree T is called a tree t-spanner of G if the distance between any two vertices in T is at most t times their distance in G. While the complexity of finding a tree t-spanner of a given graph is known for any fixed t 3, the case t Ο­ 3 still remains open. In this article, we s

On the diameter ofi-center in a graph wi
✍ Dong, Jinquan πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 117 KB πŸ‘ 2 views

A graph G is said to be P t -free if it does not contain an induced path on t vertices. The i-center C i (G) of a connected graph G is the set of vertices whose distance from any vertex in G is at most i. Denote by I(t) the set of natural numbers i, t/2 ≀ i ≀ t -2, with the property that, in every c

Long paths through four vertices in a 2-
✍ Barovich, Mark V. πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 252 KB πŸ‘ 2 views

Let G be a 2-connected graph, let u and v be distinct vertices in V (G), and let X be a set of at most four vertices lying on a common (u

Long cycles passing through a specified
✍ Hirohata, Kazuhide πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 247 KB πŸ‘ 2 views

## For a graph G and an integer an independent set of vertices in G}. Enomoto proved the following theorem. Let s β‰₯ 1 and let G be a (s + 2)-connected graph. Then G has a cycle of length β‰₯ min{|V (G)|, Οƒ 2 (G) -s} passing through any path of length s. We generalize this result as follows. Let k β‰₯