Volume 5, Issue 3

 

ارسال های اخیر

  • A new $O(m+k n log overline{d})$ algorithm to find the $k$ shortest paths in acyclic digraphs 

    Kadivar, Mehdi (University of Isfahan, 2016-09-01)
    ‎We give an algorithm‎, ‎called T$^{*}$‎, ‎for finding the k shortest simple paths connecting a certain‎ ‎pair of nodes‎, ‎$s$ and $t$‎, ‎in a acyclic digraph‎. ‎First the nodes of the graph are labeled according ...

  • Steiner Wiener index of graph products 

    Mao, Yaoping؛ Wang, Zhao؛ Gutman, Ivan (University of Isfahan, 2016-09-01)
    The Wiener index $W(G)$ of a connected graph $G$‎ ‎is defined as $W(G)=sum_{u,vin V(G)}d_G(u,v)$‎ ‎where $d_G(u,v)$ is the distance between the vertices $u$ and $v$ of‎ ‎$G$‎. ‎For $Ssubseteq V(G)$‎, ‎the Steiner ...

  • A new construction for vertex decomposable graphs 

    Hajisharifi, Nasser؛ Tehranian, Abolfazl (University of Isfahan, 2016-09-01)
    Let $G$ be a finite simple graph on the vertex set $V(G)$ and let $S subseteq V(G)$. Adding a whisker to $G$ at $x$ means adding a new vertex $y$ and edge $xy$ to $G$ where $x in V(G)$. The graph $Gcup W(S)$ is obtained ...

  • Extreme edge-friendly indices of complete bipartite graphs 

    Shiu, Wai Chee (University of Isfahan, 2016-09-01)
    Let $G=(V,E)$ be a simple graph‎. ‎An edge labeling $f:Eto {0,1}$ induces a vertex labeling $f^+:Vto Z_2$ defined by $f^+(v)equiv sumlimits_{uvin E} f(uv)pmod{2}$ for each $v in V$‎, ‎where $Z_2={0,1}$ is the additive group ...