On doubly light triangles in plane graphs. - Peter Hudák; Tomás Madaras (Discret. Math., 2013)

On the maximum weight of a planar graph of given order and size. - Andrej Gajdos; Mirko Hornák; Peter Hudák; Tomás Madaras (Discret. Appl. Math., 2014)

Light graphs in planar graphs of large girth. - Peter Hudák; Mária Maceková; Tomás Madaras; Pavol Siroczki (Discuss. Math. Graph Theory, 2016)

More on the structure of plane graphs with prescribed degrees of vertices, faces, edges and dual edges. - Peter Hudák; Mária Maceková; Tomás Madaras; Pavol Siroczki (Ars Math. Contemp., 2017)