by John Alan Engbers For graphs G and H, an H-coloring of G, or homomorphism from G to H, is an edge-preserving map from the vertices of G to the vertices of H. H-colorings generalize such graph theory notions as proper colorings and independent sets. In this dissertation, we consider four questions involving H-colorings of graphs. Recently, Galvin [27] showed that the maximum number of indepen...

Using autologous serum for the serological analysis of recombinantly expressed clones (SEREX) from a cDNA derived from a human mela noma, several new melanoma antigens were identified that are immuno genic in the autologous host. Sequence analysis revealed that one of these antigens, HOM-MEL-40, was coded for by the SSX2 gene, which has recently been described to be involved in the t(X;18) tran...

Hom-Lie algebras are non-associative, non-commutative algebras generalizing Lie algebras by twisting the Jacobi identity by a homomorphism. The main examples are algebras of twisted derivations (i.e., linear maps with a generalized Leibniz rule). Such generalized derivations appear in all parts of number theory, so hom-Lie algebras appear to have a natural role to play in many number-theoretica...

This paper begins by introducing the concept of a quasi-hom-Lie algebra, or simply, a qhl-algebra, which is a natural generalization of hom-Lie algebras introduced in a previous paper [14]. Quasi-hom-Lie algebras include also as special cases (color) Lie algebras and superalgebras, and can be seen as deformations of these by homomorphisms, twisting the Jacobi identity and skew-symmetry. The nat...

This paper deals with the performance analysis of HOM (higher order modulation) in LTE-A system. Firstly, we analyzed the requirement of HOM in small cell deployment, and then we analyzed the problem of EVM (Error Vector Magnitude) modeling in LTE system. With the assumption of small cell deployment, some link level simulation results are proposed, where the impacts of EVM on different MCS (mod...