P. Francis

activity

20182022

most cited

χ

-binding functions for some classes of

(P_{3} \cup P_{2})

-free graphs

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CO2022

Disjoint Total Dominating Sets in Near-Triangulations

P. Francis, Abraham M. Illickan, Lijo M. Jose +1

We show that every simple planar near-triangulation with minimum degree at least three contains two disjoint total dominating sets. The class includes all simple planar triangulati…

math.CO2022★ 1 cited

$χ$ -binding functions for some classes of $(P_{3} \cup P_{2})$ -free graphs

Athmakoori Prashant, P. Francis, S. Francis Raj

The class of $2 K_{2}$ -free graphs have been well studied in various contexts in the past. It is known that the class of ${2 K_{2}, 2 K_{1} + K_{p}}$ -free graphs and $\{2K_2,(K_1\cup K_2)+K_p\…

Disjoint Total Dominating Sets in Near-Triangulations

χ-binding functions for some classes of (P3​∪P2​)-free graphs

$χ$ -binding functions for some classes of $(P_{3} \cup P_{2})$ -free graphs