Spanning Trees with At Most 6 Leaves in K1,5-Free Graphs

Joint Authors

Liu, Kai
Sun, Pei

Source

Mathematical Problems in Engineering

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-10-03

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Civil Engineering

Abstract EN

A graph G is called K1,5-free if G contains no K1,5 as an induced subgraph.

A tree with at most m leaves is called an m-ended tree.

Let σkG be the minimum degree sum of k independent vertices in G.

In this paper, it is shown that every connected K1,5-free graph G contains a spanning 6-ended tree if σ7G≥G−2.

American Psychological Association (APA)

Sun, Pei& Liu, Kai. 2019. Spanning Trees with At Most 6 Leaves in K1,5-Free Graphs. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1194298

Modern Language Association (MLA)

Sun, Pei& Liu, Kai. Spanning Trees with At Most 6 Leaves in K1,5-Free Graphs. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1194298

American Medical Association (AMA)

Sun, Pei& Liu, Kai. Spanning Trees with At Most 6 Leaves in K1,5-Free Graphs. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1194298

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1194298