Did you mean: Non Separating Cycles in 4-Connected Graphs.
In this paper we give a decomposition of a 4-connected graph G into nonseparating chains, which is similar to an ear decomposition of a 2-connected graph. We ...
Later, Kawarabayashi, Lee and Yu [7] showed that if G is not a double wheel and is 4-connected, then G contains a v u path P such that ) (P V G is 2-connected.
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Mar 30, 2018 · We first prove that for every vertex x of a 4-connected graph G, there exists a subgraph H in G isomorphic to a subdivision of the complete ...
Abstract. In 1975, Lovász conjectured that for any positive integer k, there exists a minimum positive integer f(k) such that, for any two vertices x, ...
Aug 13, 2001 · We prove that given any fixed edge ra in a 4-connected graph G, there exists a cycle. C through ra such that G − (V (C) − {r}) is ...
May 9, 2022 · If graph can be split into two 2-edge-connected graphs that share no edge, than it is easy to show that the original graph is 4-edge-connected.
In this paper we consider non-separating induced cycles in graphs. A basic result is that any 2-connected graph with at least six vertices and without such ...
Oct 28, 2014 · If there is no separating triangle then any cycle of length 3 is non-separating the graph. Any triangulation is planar and 3-connected (I ...
In this paper, we describe an O(|V(G)||E(G)|) algorithm for finding a nonseparating planar chain in a 4-connected graph G, which will be used to decompose ...
A graph G is k-ordered if for any distinct vertices v 1 , v 2 , … , v k ∈ V ( G ) , it has a cycle through v 1 , v 2 , … , v k in order.