On graphs with prescribed subgraphs of order , and a theorem of Kelly and Merriell
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Yair Caro (1994)
Czechoslovak Mathematical Journal
Vadim E. Levit, Eugen Mandrescu (1998)
Discussiones Mathematicae Graph Theory
The composition graph of a family of n+1 disjoint graphs is the graph H obtained by substituting the n vertices of H₀ respectively by the graphs H₁,H₂,...,Hₙ. If H has some hereditary property P, then necessarily all its factors enjoy the same property. For some sort of graphs it is sufficient that all factors have a certain common P to endow H with this P. For instance, it is known that the composition graph of a family of perfect graphs is also a perfect graph (B. Bollobas, 1978), and the...
Evdokimov, Sergei, Ponomarenko, Ilia (1999)
The Electronic Journal of Combinatorics [electronic only]
Pavel Křivka (1971)
Commentationes Mathematicae Universitatis Carolinae
Zhongyuan Che (2007)
Czechoslovak Mathematical Journal
The concept of the -pairable graphs was introduced by Zhibo Chen (On -pairable graphs, Discrete Mathematics 287 (2004), 11–15) as an extension of hypercubes and graphs with an antipodal isomorphism. In the same paper, Chen also introduced a new graph parameter , called the pair length of a graph , as the maximum such that is -pairable and if is not -pairable for any positive integer . In this paper, we answer the two open questions raised by Chen in the case that the graphs involved...
V.S. Sunder, Uma Krishnan (1994)
Mathematica Scandinavica
Wojda, A.Pawel, Wozniak, Mariusz, Ziolo, Irmina A. (2007)
The Electronic Journal of Combinatorics [electronic only]
Konrad Pióro (2000)
Czechoslovak Mathematical Journal
In the present paper we generalize a few algebraic concepts to graphs. Applying this graph language we solve some problems on subalgebra lattices of unary partial algebras. In this paper three such problems are solved, other will be solved in papers [Pió I], [Pió II], [Pió III], [Pió IV]. More precisely, in the present paper first another proof of the following algebraic result from [Bar1] is given: for two unary partial algebras and , their weak subalgebra lattices are isomorphic if and only...
Farrell, E.J., de Matas, C.M. (1988)
International Journal of Mathematics and Mathematical Sciences
Bašić, Milan, Ilić, Aleksandar (2011)
The Electronic Journal of Combinatorics [electronic only]
Farrell, E.J., Wahid, S.A. (1987)
International Journal of Mathematics and Mathematical Sciences
Müller, V. (1976)
Abstracta. 4th Winter School on Abstract Analysis
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