A graph G is k-Hamilton-connected (k-hamiltonian) if G−X is Hamilton-connected (hamiltonian) for every setX ⊂ V (G) with |X| = k. In the paper, we prove that (i) every 5-connected claw-free graph with minimum degree at least 6 is 1Hamilton-connected, (ii) every 4-connected claw-free hourglass-free graph is 1-Hamilton-connected. As a byproduct, we also show that every 5-connected line graph with...

Given a binary relation R on the setX, we define S : X×X → X×X by setting S((u, v)) to be (u, v) if uRv, and (v, u) otherwise. This construction represent a way to associate a function to an arbitrary relation. We give simple conditions that completely characterize the relations R for which S satisfies the set-theoretical Yang-Baxter equation. 2000 Mathematics Subject Classification: 16T25, 05C...

BACKGROUND Deep brain stimulation (DBS) has been utilized to treat various symptoms in patients suffering from movement disorders such as Parkinson's disease, dystonia, and essential tremor. Though ataxia syndromes have not been formally or frequently addressed with DBS, there are patients with ataxia and associated medication refractory tremor or dystonia who may potentially benefit from thera...

Transcription hinders replication fork progression and stability. The ATR checkpoint and specialized DNA helicases assist DNA synthesis across transcription units to protect genome integrity. Combining genomic and genetic approaches together with the analysis of replication intermediates, we searched for factors coordinating replication with transcription. We show that the Sen1/Senataxin DNA/RN...

We present a molecular dissection of pause site-dependent transcriptional termination for mammalian RNA polymerase II (Pol II)-transcribed genes. We show that nascent transcripts form RNA/DNA hybrid structures (R-loops) behind elongating Pol II and are especially prevalent over G-rich pause sites positioned downstream of gene poly(A) signals. Senataxin, a helicase protein associated with AOA2/A...

The aim of the study was to analyze genetic basis a various range neurodegenerative disorders manifesting by movement (MD) using next generation sequencing (NGS) clinical exome panel. included total number 42 cases, 36 unrelated and 3 sibling pairs patients diagnosed with disorders, all negative after targeted testing available at Neurology clinic, UCCS, Belgrade, Serbia. In selection responden...

The yeast RNA/DNA helicase Sen1, Senataxin in human, preserves the integrity of replication forks encountering transcription by removing RNA-DNA hybrids. Here we show that, in sen1 mutants, when a replication fork clashes head-on with transcription is arrested and, as a consequence, the progression of the sister fork moving in the opposite direction within the same replicon is also impaired. Th...