Displaying similar documents to “Nowhere-zero 3-flows in squares of graphs.”

Flows on the join of two graphs

Robert Lukoťka, Edita Rollová (2013)

Mathematica Bohemica

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The join of two graphs G and H is a graph formed from disjoint copies of G and H by connecting each vertex of G to each vertex of H . We determine the flow number of the resulting graph. More precisely, we prove that the join of two graphs admits a nowhere-zero 3 -flow except for a few classes of graphs: a single vertex joined with a graph containing an isolated vertex or an odd circuit tree component, a single edge joined with a graph containing only isolated edges, a single edge plus...

The Turàn number of the graph 3P4

Halina Bielak, Sebastian Kieliszek (2014)

Annales UMCS, Mathematica

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Let ex (n,G) denote the maximum number of edges in a graph on n vertices which does not contain G as a subgraph. Let Pi denote a path consisting of i vertices and let mPi denote m disjoint copies of Pi. In this paper we count ex(n, 3P4)

Deficiency of forests

Sana Javed, Mujtaba Hussain, Ayesha Riasat, Salma Kanwal, Mariam Imtiaz, M. O. Ahmad (2017)

Open Mathematics

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An edge-magic total labeling of an (n,m)-graph G = (V,E) is a one to one map λ from V(G) ∪ E(G) onto the integers {1,2,…,n + m} with the property that there exists an integer constant c such that λ(x) + λ(y) + λ(xy) = c for any xy ∈ E(G). It is called super edge-magic total labeling if λ (V(G)) = {1,2,…,n}. Furthermore, if G has no super edge-magic total labeling, then the minimum number of vertices added to G to have a super edge-magic total labeling, called super edge-magic deficiency...