ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

IMPACT FACTOR 2018: 0.741

SCImago Journal Rank (SJR) 2018: 0.763

Rejection Rate (2017-2018): c. 84%

Discussiones Mathematicae Graph Theory


Discussiones Mathematicae Graph Theory 16(2) (1996) 207-217
DOI: 10.7151/dmgt.1035


Stanislav Jendrol'

Department of Geometry and Algebra, P.J. Safárik University, Jesenná 5
and Institute of Mathematics, Slovak Academy of Sciences
041 54 Košice, Slovak Republic

email: jendrol@Koš

Tomáš Madaras

Department of Geometry and Algebra, P.J. Šafárik University
Jesenná 5, 041 54 Košice, Slovak Republic



A subgraph of a plane graph is light if the sum of the degrees of the vertices of the subgraph in the graph is small. It is well known that a plane graph of minimum degree five contains light edges and light triangles. In this paper we show that every plane graph of minimum degree five contains also light stars K1,3 and K1,4 and a light 4-path P4. The results obtained for K1,3 and P4 are best possible.

Keywords: planar graph, light subgraph, star, triangulation.

1991 Mathematics Subject Classification: 05C75, 05C10, 52B10.


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