### Value-peaks of permutations.

Bouchard, Pierre, Chang, Hungyung, Ma, Jun, Yeh, Jean, Yeh, Yeong-Nan (2010)

The Electronic Journal of Combinatorics [electronic only]

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Bouchard, Pierre, Chang, Hungyung, Ma, Jun, Yeh, Jean, Yeh, Yeong-Nan (2010)

The Electronic Journal of Combinatorics [electronic only]

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Marián Klešč, Jana Petrillová (2013)

Discussiones Mathematicae Graph Theory

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The crossing numbers of Cartesian products of paths, cycles or stars with all graphs of order at most four are known. For the path Pn of length n, the crossing numbers of Cartesian products G⃞Pn for all connected graphs G on five vertices are also known. In this paper, the crossing numbers of Cartesian products G⃞Pn for graphs G of order six are studied. Let H denote the unique tree of order six with two vertices of degree three. The main contribution is that the crossing number of the...

Li, Yu-Shuang, Wang, Jun (2007)

The Electronic Journal of Combinatorics [electronic only]

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Parviz Azimi, A. A. Ledari (2009)

Czechoslovak Mathematical Journal

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Hagler and the first named author introduced a class of hereditarily ${l}_{1}$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily ${l}_{p}$ Banach spaces for $1\le p<\infty $. Here we use these spaces to introduce a new class of hereditarily ${l}_{p}\left({c}_{0}\right)$ Banach spaces analogous of the space of Popov. In particular, for $p=1$ the spaces are further examples of hereditarily ${l}_{1}$ Banach spaces failing the Schur property.

Binlong Li, Bo Ning (2015)

Annales UMCS, Mathematica

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Let G1 and G2 be two given graphs. The Ramsey number R(G1,G2) is the least integer r such that for every graph G on r vertices, either G contains a G1 or Ḡ contains a G2. Parsons gave a recursive formula to determine the values of R(Pn,K1,m), where Pn is a path on n vertices and K1,m is a star on m+1 vertices. In this note, we study the Ramsey numbers R(Pn,K1,m), where Pn is a linear forest on m vertices. We determine the exact values of R(Pn,K1∨Fm) for the cases m ≤ n and m ≥ 2n, and...

Riedl, Jeffrey M. (2009)

International Journal of Mathematics and Mathematical Sciences

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Schulze, Bernd (2011)

The Electronic Journal of Combinatorics [electronic only]

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Ciupa, Alexandra (2006)

International Journal of Mathematics and Mathematical Sciences

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Robbins, Neville (1988)

International Journal of Mathematics and Mathematical Sciences

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Bohdan Zelinka (1978)

Mathematica Slovaca

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