Connection problems and size of graphs
Báo cáo viên: Đoàn Duy Trung (ĐHBK Hà Nội)

Thời gian: 9h30, Thứ 5, ngày 18/06/2020.

Địa điểm: Phòng 612, nhà A6, Viện Toán học.

Tóm tắt: Recently, the concepts of connection problems are introduced in graph theory. Let $G$ be a nontrivial connected graph on which an edge-colouring $c:E(G)rightarrowlbrace 1,2,ldots,nrbrace, ninmathbb{N}$, is defined, where adjacent edges may be coloured the same. A path $P$ in the graph $G$ is called emph{$mathcal{P}$ path} if its edges are assigned colours with $mathcal{P}$ property. The edge-coloured graph $G$ is emph{$mathcal{P}$ connected} if every two vertices are connected by at least one $mathcal{P}$ path in $G$. The emph{$mathcal{P}$ connection number} of the graph $G$, denoted by $mathcal{P}(G)$, is the smallest number of colours in order to make it $mathcal{P}$ connected. In our talk, we will present some results on $mathcal{P}$ connection number and size of graphs.

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