location:  Publications → journals
Search results

Search: All articles in the CMB digital archive with keyword trace

 Expand all        Collapse all Results 1 - 3 of 3

1. CMB 2009 (vol 52 pp. 416)

Malik, Shabnam; Qureshi, Ahmad Mahmood; Zamfirescu, Tudor
 Hamiltonian Properties of Generalized Halin Graphs A Halin graph is a graph $H=T\cup C$, where $T$ is a tree with no vertex of degree two, and $C$ is a cycle connecting the end-vertices of $T$ in the cyclic order determined by a plane embedding of $T$. In this paper, we define classes of generalized Halin graphs, called $k$-Halin graphs, and investigate their Hamiltonian properties. Keywords:$k$-Halin graph, Hamiltonian, Hamiltonian connected, traceableCategories:05C45, 05C38

2. CMB 2008 (vol 51 pp. 140)

Rossi, Julio D.
 First Variations of the Best Sobolev Trace Constant with Respect to the Domain In this paper we study the best constant of the Sobolev trace embedding $H^{1}(\Omega)\to L^{2}(\partial\Omega)$, where $\Omega$ is a bounded smooth domain in $\RR^N$. We find a formula for the first variation of the best constant with respect to the domain. As a consequence, we prove that the ball is a critical domain when we consider deformations that preserve volume. Keywords:nonlinear boundary conditions, Sobolev trace embeddingCategories:35J65, 35B33

3. CMB 2000 (vol 43 pp. 60)

Farkas, Daniel R.; Linnell, Peter A.
 Trivial Units in Group Rings Let $G$ be an arbitrary group and let $U$ be a subgroup of the normalized units in $\mathbb{Z}G$. We show that if $U$ contains $G$ as a subgroup of finite index, then $U = G$. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of a crystallographic group. Keywords:units, trace, finite conjugate subgroupCategories:16S34, 16U60
 top of page | contact us | privacy | site map |