Fractional Q-Edge-Coloring of Graphs

Július Czap; Peter Mihók

Discussiones Mathematicae Graph Theory (2013)

  • Volume: 33, Issue: 3, page 509-519
  • ISSN: 2083-5892

Abstract

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An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let [...] be an additive hereditary property of graphs. A [...] -edge-coloring of a simple graph is an edge coloring in which the edges colored with the same color induce a subgraph of property [...] . In this paper we present some results on fractional [...] -edge-colorings. We determine the fractional [...] -edge chromatic number for matroidal properties of graphs.

How to cite

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Július Czap, and Peter Mihók. "Fractional Q-Edge-Coloring of Graphs." Discussiones Mathematicae Graph Theory 33.3 (2013): 509-519. <http://eudml.org/doc/267979>.

@article{JúliusCzap2013,
abstract = {An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let [...] be an additive hereditary property of graphs. A [...] -edge-coloring of a simple graph is an edge coloring in which the edges colored with the same color induce a subgraph of property [...] . In this paper we present some results on fractional [...] -edge-colorings. We determine the fractional [...] -edge chromatic number for matroidal properties of graphs.},
author = {Július Czap, Peter Mihók},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {fractional coloring; graph property},
language = {eng},
number = {3},
pages = {509-519},
title = {Fractional Q-Edge-Coloring of Graphs},
url = {http://eudml.org/doc/267979},
volume = {33},
year = {2013},
}

TY - JOUR
AU - Július Czap
AU - Peter Mihók
TI - Fractional Q-Edge-Coloring of Graphs
JO - Discussiones Mathematicae Graph Theory
PY - 2013
VL - 33
IS - 3
SP - 509
EP - 519
AB - An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let [...] be an additive hereditary property of graphs. A [...] -edge-coloring of a simple graph is an edge coloring in which the edges colored with the same color induce a subgraph of property [...] . In this paper we present some results on fractional [...] -edge-colorings. We determine the fractional [...] -edge chromatic number for matroidal properties of graphs.
LA - eng
KW - fractional coloring; graph property
UR - http://eudml.org/doc/267979
ER -

References

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  1. [1] J.A. Bondy and U.S.R. Murty, Graph Theory (Springer, 2008). doi:10.1007/978-1-84628-970-5[Crossref] 
  2. [2] M. Borowiecki, A. Kemnitz, M. Marangio and P. Mihók, Generalized total colorings of graphs, Discuss. Math. Graph Theory 31 (2011) 209-222. doi:10.7151/dmgt.1540[Crossref] Zbl1234.05076
  3. [3] I. Broere, S. Dorfling and E. Jonck, Generalized chromatic numbers and additive hereditary properties of graphs, Discuss. Math. Graph Theory 22 (2002) 259-270. doi:10.7151/dmgt.1174[Crossref] Zbl1030.05038
  4. [4] M.J. Dorfling and S. Dorfling, Generalized edge-chromatic numbers and additive hereditary properties of graphs, Discuss. Math. Graph Theory 22 (2002) 349-359. doi:10.7151/dmgt.1180[Crossref] Zbl1030.05039
  5. [5] J. Edmonds, Maximum matching and a polyhedron with 0, 1-vertices, J. Res. Nat.Bur. Standards 69B (1965) 125-130. Zbl0141.21802
  6. [6] G. Karafová, Generalized fractional total coloring of complete graphs, Discuss. Math. Graph Theory, accepted. Zbl06323187
  7. [7] A. Kemnitz, M. Marangio, P. Mihók, J. Oravcová and R. Soták, Generalized fractional and circular total coloring of graphs, preprint. Zbl1317.05060
  8. [8] K. Kilakos and B. Reed, Fractionally colouring total graphs, Combinatorica 13 (1993) 435-440. doi:10.1007/BF01303515[Crossref] Zbl0795.05056
  9. [9] P. Mihók, On graphs matroidal with respect to additive hereditary properties, Graphs, Hypergraphs and Matroids II, Zielona Góra (1987) 53-64. 
  10. [10] P. Mihók, Zs. Tuza and M. Voigt, Fractional P-colourings and P-choice-ratio, Tatra Mt. Math. Publ. 18 (1999) 69-77. Zbl0951.05035
  11. [11] J.G. Oxley, Matroid Theory (Oxford University Press, Oxford, 1992). 
  12. [12] E.R. Scheinerman and D.H. Ullman, Fractional Graph Theory (John Wiley & Sons, 1997). Zbl0891.05003
  13. [13] R. Schmidt, On the existence of uncountably many matroidal families, Discrete Math. 27 (1979) 93-97. doi:10.1016/0012-365X(79)90072-4[Crossref] 
  14. [14] J.M.S. Simões-Pereira, On matroids on edge sets of graphs with connected subgraphs as circuits, Proc. Amer. Math. Soc. 38 (1973) 503-506. doi:10.2307/2038939 [Crossref] Zbl0264.05126

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