منابع مشابه
Finite groups admitting a connected cubic integral bi-Cayley graph
A graph is called integral if all eigenvalues of its adjacency matrix are integers. Given a subset $S$ of a finite group $G$, the bi-Cayley graph $BCay(G,S)$ is a graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid sin S, xin G}$. In this paper, we classify all finite groups admitting a connected cubic integral bi-Cayley graph.
متن کاملCyclically five-connected cubic graphs
A cubic graph G is cyclically 5-connected if G is simple, 3–connected, has at least 10 vertices and for every set F of edges of size at most four, at most one component of G\F contains circuits. We prove that if G and H are cyclically 5-connected cubic graphs and H topologically contains G, then either G and H are isomorphic, or (modulo well-described exceptions) there exists a cyclically 5-con...
متن کاملconnected cototal domination number of a graph
a dominating set $d subseteq v$ of a graph $g = (v,e)$ is said to be a connected cototal dominating set if $langle d rangle$ is connected and $langle v-d rangle neq phi$, contains no isolated vertices. a connected cototal dominating set is said to be minimal if no proper subset of $d$ is connected cototal dominating set. the connected cototal domination number $gamma_{ccl}(g)$ of $g$ is the min...
متن کاملThe 3-dimensional cube is the only periodic, connected cubic graph with perfect state transfer
There is perfect state transfer between two vertices of a graph, if a single excitation can travel with fidelity one between the corresponding sites of a spin system modeled by the graph. When the excitation is back at the initial site, for all sites at the same time, the graph is said to be periodic. A graph is cubic if each of its vertices has a neighbourhood of size exactly three. We prove t...
متن کاملConnected Treewidth and Connected Graph Searching
Goal In a contaminated network, an invisible omniscient arbitrary fast fugitive ; a team of searchers ; We want to find a strategy that catch the fugitive using the fewest searchers as possible. Goal In a contaminated network, an invisible omniscient arbitrary fast fugitive ; a team of searchers ; We want to find a strategy that catch the fugitive using the fewest searchers as possible.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Engineering Science and Technology, an International Journal
سال: 2017
ISSN: 2215-0986
DOI: 10.1016/j.jestch.2017.04.005