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- Peter Borg
- Electr. J. Comb.
- 2008

- P J Borg, D A Taylor
- Naunyn-Schmiedeberg's archives of pharmacology
- 1997

The effects of systemic and intra-accumbens infusion of morphine on the extracellular level of dopamine (DA) and its metabolites, DOPAC and HVA, were investigated in the nucleus accumbens (NAcc) of halothane-anaesthetized rats using in vivo microdialysis. Morphine in a dose of 1 or 5 mg/kg i.v. produced a significant increase (60-100% of baseline levels) in… (More)

- Peter Borg
- Discrete Mathematics
- 2009

Families A1, ...,Ak of sets are said to be cross-intersecting if Ai ∩ Aj 6= ∅ for any Ai ∈ Ai and Aj ∈ Aj , i 6= j. A nice result of Hilton that generalises the Erd®sKo-Rado (EKR) Theorem says that if r ≤ n/2 and A1, ..., Ak are cross-intersecting sub-families of ( [n] r ) , then

- Peter Borg, Fred C. Holroyd
- Discrete Mathematics
- 2009

Let G = (V,E) be a graph. For r ≥ 1, let I G be the family of independent vertex r-sets of G. For v ∈ V (G), let I G (v) denote the star {A ∈ I (r) G : v ∈ A}. G is said to be r-EKR if there exists v ∈ V (G) such that |A| ≤ |I G (v)| for any non-star family A of pair-wise intersecting sets in I G . If the inequality is strict, then G is strictly r-EKR. Let… (More)

- Peter Borg, Imre Leader
- J. Comb. Theory, Ser. A
- 2010

A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ...,Ap are said to be cross-intersecting if any set in any family Ai intersects any set in any other family Aj . Hilton proved a sharp bound for the sum of sizes of cross-intersecting families of r-subsets of [n]. Our… (More)

- Peter Borg
- J. Comb. Theory, Ser. A
- 2010

For positive integers r and n with r ≤ n, let Pr,n be the family of all sets {(1, y1), (2, y2), ..., (r, yr)} such that y1, y2, ..., yr are distinct elements of [n] = {1, 2, ..., n}. Pn,n describes permutations of [n]. For r < n, Pr,n describes permutations of relement subsets of [n]. Families A1,A2, ...,Ak of sets are said to be cross-intersecting if, for… (More)

- P J Borg, B R Sitaram, D A Taylor
- Journal of chromatography
- 1993

A highly efficient and reproducible two-step liquid-liquid ion-pair extraction technique for the isolation of morphine from biological samples is described. A rapid normal phase high-performance liquid chromatographic procedure coupled with amperometric electrochemical detection has also been developed for subsequent quantification of morphine. Extraction… (More)

- Peter Borg
- Electr. J. Comb.
- 2007

- Peter Borg
- Discrete Mathematics
- 2009

A family A of sets is said to be t-intersecting if any two sets in A contain at least t common elements. A t-intersecting family is said to be trivial if there are at least t elements common to all its sets. Let X be an r-set {x1, ..., xr}. For k ≥ 2, we de ne SX,k and S∗ X,k to be the families of k-signed r-sets given by SX,k := {{(x1, a1), ..., (xr, ar)}… (More)

- Peter Borg
- Eur. J. Comb.
- 2011

A family H of sets is said to be hereditary if all subsets of any set in H are in H; in other words, H is hereditary if it is a union of power sets. A family A is said to be intersecting if no two sets in A are disjoint. A star is a family whose sets contain at least one common element. An outstanding open conjecture due to Chvátal claims that among the… (More)