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Open AccessRole of HER3 expression and PTEN loss in patients with HER2-overexpressing metastatic breast cancer (MBC) who received taxane plus trastuzumab treatment
The aim of this study was to investigate the role of human epidermal growth factor receptor (HER3) and PTEN expression in patients with HER2-overexpressing metastatic breast cancer (MBC).
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Article
On vertex transitive graphs of infinite degree
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Article
Long paths and cycles in tough graphs
For a graphG, letp(G) andc(G) denote the length of a longest path and cycle, respectively. Let π(t,n) be the minimum ofp(G), whereG ranges over allt-tough connected graphs onn vertices. Similarly, let γ(t,n) be t...
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Chapter
Long Cycles in Graphs with Moderate Connectivity
In this paper we supply bounds for the length of a longest cycle C in G in terms of the structure of G-V(C).
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Article
The connectivities of locally finite primitive graphs
Letγ be an infinite, locally finite graph whose automorphism group is primitive on its vertex set. It is shown that the connectivity ofγ cannot equal 2, but all other values 0, 1, 3, 4, ... are possible.
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Article
Longest paths joining given vertices in a graph
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Article
On 3-skein isomorphisms of graphs
It is shown that a 3-skein isomorphism between 3-connected graphs with at least 5 vertices is induced by an isomorphism. These graphs have no loops but may be infinite and have multiple edges.
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Article
Note on 2-connected graphs withd(u)+d (v)≧n −4
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Article
A note on fragments of infinite graphs
Results involving automorphisms and fragments of infinite graphs are proved. In particular for a given fragmentC and a vertex-transitive subgroupG of the automorphism group of a connected graph there exists σ≠G s...
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Article
On the connectivities of finite and infinite graphs
Results byW. Mader and the authors on the connectivity of finite graphs are generalized to include infinite graphs. In the infinite case a distinction must be made concerning the distribution of finite and infini...
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Article
Über den Zusammenhang von Graphen, mit Anwendungen auf symmetrische Graphen
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Article
Abschließungen in Klassen strukturierter Mengen
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Article
Eine Verallgemeinerung desn-fachen Zusammenhangs für Graphen
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Article
On odd circuits in chromatic graphs
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Article
Über die Seltenheit der reduziblen Polynome
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Article
Zu einem Isomorphiesatz von H. Whitney für Graphen
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Article
Anwendung einer Methode von K. Wagner bei Färbungsproblemen für Graphen
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Article
Charakterisierung der Komplexe der Ebene und der 2-Sphäre
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Maximal-Г-prime Graphen
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Über Minimalstrukturen von Graphen, insbesondere vonn-fach zusammenhängenden Graphen