arXiv subjects

Roland Häggkvist

Publications and source records attributed to Roland Häggkvist.

2 recordsLinked to original sources

arXiv2017

Cycle Double Covers via Kotzig Graphs

We show that every $2$-connected cubic graph $G$ has a cycle double cover if $G$ has a spanning subgraph $F$ such that (i) every component of $F$ has an even number of vertices (ii) every component of $F$ is either a cycle or a subdivision of a Kotzig graph and (iii) the components of $F$ are connected to each other in a certain general manner.

math.CO↗

arXiv2007

Orthogonal latin rectangles

We use a greedy probabilistic method to prove that for every $ε> 0$, every $m\times n$ Latin rectangle on $n$ symbols has an orthogonal mate, where $m=(1-ε)n$. That is, we show the existence of a second Latin rectangle such that no pair of the $mn$ cells receives the same pair of symbols in the two rectangles.

math.CO↗