ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Boenja i homomorfizmi na grafovi : doktorska disertacija
Petruševski, Mirko
The thesis makes a contribution to the theories of edge-colorings and graph homemorphisms. In the context of colorings, the notion of odd edge-coloring of graphs (introduced in [Pyber L., Covering ...the edges of a graph by..., Graphs and Numbers, Colloquia Mathematica Societatis János Bolyai 60 (1991) 583-610] is further investigated. The odd edge-colorability of graphs ▫$G$▫ is characterized, and a tight upper bound ▫$\chi'_0(G) \le 6$▫ is proven for the odd-chromatic index. Moreover, a characterization for each of the equalities ▫$\chi'_0(G) = 6$▫ and ▫$\chi'_0(G) = 5$▫ is provided. The notion of a vertex signature ▫$\pi$▫ of a graph ▫$G$▫ is introduced, and then the related notions of parity and weak-parity edge-colorings of a pair ▫$(G, \pi)$▫ are studied. Analoguous results to the ones for▫ $\chi'_0(G)$▫ are presented for the parity chromatic index ▫$\chi'_p(G, \pi)$▫. A characterization of ▫$(G, \pi)$▫ in terms of the value of the weak-parity chromatic index ▫$\chi'_{wp}(G, \pi)$▫ is provided. As a contribution to the theory of graph homomorphisms, it is proved that each planar graph of odd-girth at least 17 maps to the Coxeter graph.
Type of material - dissertation
; adult, serious
Publication and manufacture - Skopje : [M. Petruševski], 2015
No library within the COBISS.SI system holds a copy of this material.
Shelf entry
Adding material to shelf was successful.
Adding material to shelf failed.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
