O. Vega

activity

20102016

most citedOn the Levi Graph of Point-Line Configurations

1 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2016

Feet in Orthogonal-Buekenhout-Metz Unitals

Nicolas Abarzua, Rolando Pomareda, Oscar Vega

Given an Orthogonal-Buekenhout-Metz unital $U_{α, β}$ , embedded in $P G (2, q^{2})$ , and a point $P \in / U_{α, β}$ , we study the set of feet, $τ_{P} (U_{α, β})$ , of $P$ in $U_{α, β}$ . We ch…

math.CO2015

A note on graphs with characteristic-dependent well-covered dimension

Joseph Burdick, Oscar Vega

We investigate graphs that have characteristic-dependent well-covered dimension and show how more of these graphs can be constructed from known ones.

math.CO2014★ 1 cited

On the Levi Graph of Point-Line Configurations

Jessica Hauschild, Jazmin Ortiz, Oscar Vega

We prove that the well-covered dimension of the Levi graph of a point-line configuration (v_r, b_k) is equal to 0, whenever r > 2.

math.CO2013

Cycles in Projective Spaces

Elaina Aceves, David Heywood, Ashley Klahr +1

We prove that every possible $k$ -cycle can be embedded into $P G (n, q)$ , for all $n \geq 3$ and $q$ a power of a prime.

math.CO2013

Graphs Embedded into Finite Projective Planes

Keith Mellinger, Ryan Vaughn, Oscar Vega

We introduce and study embeddings of graphs in finite projective planes, and present related results for some families of graphs including complete graphs and complete bipartite gr…

math.CO2013★ 1 cited

Embedding cycles in finite planes

Felix Lazebnik, Keith E. Mellinger, Oscar Vega

We define and study embeddings of cycles in finite affine and projective planes. We show that for all $k$ , $3 \leq k \leq q^{2}$ , a $k$ -cycle can be embedded in any affine plane of order…

math.CO2012

Cycles, wheels, and gears in finite planes

Jamie Peabody, Oscar Vega, Jordan White

The existence of a primitive element of $GF (q)$ with certain properties is used to prove that all cycles that could theoretically be embedded in $A G (2, q)$ and $P G (2, q)$ can, in fac…

math.CO2010

The Well-Covered Dimension of Products of Graphs

Isaac Birnbaum, Megan Kuneli, Robyn McDonald +2

We discuss how to find the well-covered dimension of a graph that is the Cartesian product of paths, cycles, complete graphs, and other simple graphs. Also, a bound for the well-co…