Nowhere-zero -flows of supergraphs.
Mohar, Bojan, Škrekovski, Riste (2001)
The Electronic Journal of Combinatorics [electronic only]
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Mohar, Bojan, Škrekovski, Riste (2001)
The Electronic Journal of Combinatorics [electronic only]
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Vajk Szécsi (2013)
Open Mathematics
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A nearly sharp lower bound on the length of the longest trail in a graph on n vertices and average degree k is given provided the graph is dense enough (k ≥ 12.5).
Robert Lukoťka, Edita Rollová (2013)
Mathematica Bohemica
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The join of two graphs and is a graph formed from disjoint copies of and by connecting each vertex of to each vertex of . We determine the flow number of the resulting graph. More precisely, we prove that the join of two graphs admits a nowhere-zero -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...
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)
Little, C.H.C., Sanjith, G. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Sousa, Teresa (2005)
The Electronic Journal of Combinatorics [electronic only]
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Bohdan Zelinka (1975)
Matematický časopis
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Bohdan Zelinka (1976)
Czechoslovak Mathematical Journal
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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...