Maximum matchings in regular graphs of high girth.
Flaxman, Abraham D., Hoory, Shlomo (2007)
The Electronic Journal of Combinatorics [electronic only]
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Flaxman, Abraham D., Hoory, Shlomo (2007)
The Electronic Journal of Combinatorics [electronic only]
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Csaba, Béla (2007)
The Electronic Journal of Combinatorics [electronic only]
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Bollobás, Béla, Nikiforov, Vladimir (2005)
The Electronic Journal of Combinatorics [electronic only]
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Filip Guldan (1991)
Czechoslovak Mathematical Journal
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Polcyn, Joanna (2008)
The Electronic Journal of Combinatorics [electronic only]
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Sriraman Sridharan (2008)
RAIRO - Operations Research
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We design a polynomial time algorithm for finding a -1)- regular subgraph in a -regular graph without any induced star (claw-free). A polynomial time algorithm for finding a cubic subgraph in a 4-regular locally connected graph is also given. A family of -regular graphs with an induced star (, not containing any (-1)-regular subgraph is also constructed.
Kashiwabara, Kenji (2009)
The Electronic Journal of Combinatorics [electronic only]
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Filip Guldan (1986)
Mathematica Slovaca
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Hoffmann, Arne, Volkmann, Lutz (2004)
The Electronic Journal of Combinatorics [electronic only]
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Hongyu Liang (2013)
Discussiones Mathematicae Graph Theory
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Let G = (V,E) be a graph. A function f : V → {-1,1} is called a bad function of G if ∑u∈NG(v) f(u) ≤ 1 for all v ∈ V where NG(v) denotes the set of neighbors of v in G. The negative decision number of G, introduced in [12], is the maximum value of ∑v∈V f(v) taken over all bad functions of G. In this paper, we present sharp upper bounds on the negative decision number of a graph in terms of its order, minimum degree, and maximum degree. We also establish a sharp Nordhaus-Gaddum-type inequality...