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Workshop on Colored Notions of Connectivity in Graphs
Workshop Colored Notions of Connectivity in Graphs
2017/1/11
Nowadays "colored notions of connectivity in graphs" becomes a new and active subject in graph theory. Starting from rainbow connection, monochromatic connection and proper connection appeared later. ...
Combined degree and connectivity conditions for H-linked graphs
Combined degree connectivity conditions H-linked graphs Combinatorics
2012/6/27
For a given multigraph H, a graph G is H-linked, if |G| \geq |H| and for every injective map {\tau}: V (H) \rightarrow V (G), we can find internally disjoint paths in G, such that every edge from uv i...
Maximum spectral radius of graphs with given connectivity and minimum degree
connectivity spectral radius Combinatorics
2011/9/21
Abstract: Shiu, Chan and Chang [On the spectral radius of graphs with connectivity at most $k$, J. Math. Chem., 46 (2009), 340-346] studied the spectral radius of graphs of order $n$ with $\kappa(G) \...
Abstract: We prove that, for each nonnegative integer k and each matroid N, if M is a 3-connected matroid containing N as a minor, and the the branch width of M is sufficiently large, then there is a ...
On augmented eccentric connectivity index of graphs and trees
eccentric connectivity index Combinatorics graphs and trees
2011/9/2
Abstract: In this paper we establish all extremal graphs with respect to augmented eccentric connectivity index among all (simple connected) graphs, among trees and among trees with perfect matching. ...