5 papers
Two Forbidden Induced Minor Theorems for Antimatroids
Christian Joseph Altomare
Antimatroids were discovered by Dilworth in the context of lattices [4] and introduced by Edelman and Jamison as convex geometries in[5]. The author of the current paper independen…
Excluding Degree Sequences of Cycles
Christian Joseph Altomare
In this paper, we characterize the degree sequences excluding the degree sequence of a square in terms of forcibly chordal graphs, and we prove several related results.
On Structural Descriptions of Lower Ideals of Series Parallel Posets
Christian Joseph Altomare
In this paper we give an algorithm to determine, for any given suborder closed class of series-parallel posets, a structure theorem for the class. We refer to these structure theor…
A Semigroup Proof of the Bounded Degree Case of S.B. Rao's Conjecture on Degree Sequences and a Bipartite Analogue
Christian Joseph Altomare
S.B. Rao conjectured in 1971 that graphic degree sequences are well quasi ordered by a relation defined in terms of the induced subgraph relation. In 2008, M. Chudnovsky and P. Sey…
Cantor Series Constructions Contrasting Two Notions of Normality
Christian Altomare, Bill Mance
A. Rényi \cite{Renyi} made a definition that gives a generalization of simple normality in the context of -Cantor series. In \cite{Mance}, a definition of -normality was give…