The Independence Number of Graphs With Large Odd Girth
. Let G be an r-regular graph of order n and independence number ff(G). We show that if G has odd girth 2k + 3 then ff(G) n 1\Gamma1=k r 1=k . We also prove similar results for graphs which are not regular.
Tristan Denley
core
Non-proper edge-colouring of graphs and hereditary graph properties
A graph property is any isomorphism-closed class of graphs. A property P is hereditary if, whenever a graph G is in P, and H is a subgraph of G, then H is also in P.
Maritz, Elizabeth C.M. +3 more
core
On The Equitable Chromatic Number of Complete n-Partite Graphs
In this paper, we derive an explicit formula for the equitable chromatic number of a complete n-partite graph Kp 1 ;p 2 ;\Delta\Delta\Delta ;p n . Namely, if there exists a largest integer M such that p i (mod M) !
C. F. Zhang +3 more
core
Online conflict-free coloring for intervals
. We consider an online version of the conflict-free coloring of a set of points on the line, where each newly inserted point must be assigned a color upon insertion, and at all times the coloring has to be conflict-free, in the sense that in every ...
Meital Levy +4 more
core
Distance-based topological polynomials and indices of friendship graphs. [PDF]
Gao W +3 more
europepmc +1 more source
Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization. [PDF]
Gribling S, de Laat D, Laurent M.
europepmc +1 more source
Diversity of capsular polysaccharide gene clusters in Kpc-producing Klebsiella pneumoniae clinical isolates of sequence type 258 involved in the Italian epidemic. [PDF]
D'Andrea MM +7 more
europepmc +1 more source
Further results on the radio number for some construction of the path, complete, and complete bipartite graphs. [PDF]
Mari B, Jeyaraj RS.
europepmc +1 more source
A Graph Coloring Algorithm for Large Scheduling Problems. [PDF]
Leighton FT.
europepmc +1 more source

