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20072026
most citedLower bounds for the greatest possible number of colors in interval edge colorings of bipartite cylinders and bipartite tori

10 citations · 48 across the 31 of their papers we have counts for

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Showing 2007Show all

6 papers · 1 filter

cs.DM2007★ 6 cited

Interval Edge Colorings of Mobius Ladders

P. A. Petrosyan

An interval edge t-coloring of a graph G is a proper edge coloring of G with colors 1,2...,t such that at least one edge of G is colored by color i,i=1,2...,t, and the edges incide…

cs.DM2007★ 10 cited

Lower bounds for the greatest possible number of colors in interval edge colorings of bipartite cylinders and bipartite tori

Petros A. Petrosyan, Gagik H. Karapetyan

An interval edge t-coloring of a graph G is a proper edge coloring of G with colors 1,2...,t such that at least one edge of G is colored by color i,i=1,2...,t, and the edges incide…

cs.DM2007★ 2 cited

On Interval Colorings of Complete k-partite Graphs K_{n}^{k}

Rafael R. Kamalian, Petros A. Petrosyan

Problems of existence, construction and estimation of parameters of interval colorings of complete k-partite graphs K_{n}^{k} are investigated.

cs.DM2007★ 1 cited

Interval Edge Colourings of Complete Graphs and n-cubes

Petros A. Petrosyan

For complete graphs and n-cubes bounds are found for the possible number of colours in an interval edge colourings.

cs.DM2007

Interval Colourings of Some Regular Graphs

Rafael R. Kamalian, Petros A. Petrosyan

A lower bound is obtained for the greatest possible number of colors in an interval colourings of some regular graphs.

cs.DM2007★ 2 cited

On Lower Bound for W(K_{2n})

Rafael R. Kamalian, Petros A. Petrosyan

The lower bound W(K_{2n})>=3n-2 is proved for the greatest possible number of colors in an interval edge coloring of the complete graph K_{2n}.