Normal p-Subgroups in the Group of Outer Automorphisms of a Finite p-Group.
Peter Schmid (1976)
Mathematische Zeitschrift
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Peter Schmid (1976)
Mathematische Zeitschrift
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Ivan Gutman, Yeong-Nan Yeh (1993)
Publications de l'Institut Mathématique
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A. Kośliński (1987)
Applicationes Mathematicae
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Jaroslav Nešetřil (1972)
Commentationes Mathematicae Universitatis Carolinae
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Mordechai Lewin (1982)
Mathematische Zeitschrift
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Keh-Hsun Chen, Zbigniew W. Ras (1988)
Banach Center Publications
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Christopher D.H. Cooper (1968)
Mathematische Zeitschrift
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Masayoshi Matsushita, Yota Otachi, Toru Araki (2015)
Discussiones Mathematicae Graph Theory
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Two spanning trees T1 and T2 of a graph G are completely independent if, for any two vertices u and v, the paths from u to v in T1 and T2 are internally disjoint. For a graph G, we denote the maximum number of pairwise completely independent spanning trees by cist(G). In this paper, we consider cist(G) when G is a partial k-tree. First we show that [k/2] ≤ cist(G) ≤ k − 1 for any k-tree G. Then we show that for any p ∈ {[k/2], . . . , k − 1}, there exist infinitely many k-trees G such...
Marriott, Kim, Stuckey, Peter J. (2004)
Journal of Graph Algorithms and Applications
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F.A. Muntaner-Batle, Miquel Rius-Font (2008)
Discussiones Mathematicae Graph Theory
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We study the structure of path-like trees. In order to do this, we introduce a set of trees that we call expandable trees. In this paper we also generalize the concept of path-like trees and we call such generalization generalized path-like trees. As in the case of path-like trees, generalized path-like trees, have very nice labeling properties.