Results 51 to 60 of about 154 (96)

Almost All Graphs With 2.522n Edges Are Not 3-Colorable

open access: yes, 1999
We prove that for c 2:522 a random graph with n vertices and m = cn edges is not 3-colorable with probability 1 \Gamma o(1). Similar bounds for non-k-colorability are given for k ? 3.
Achlioptas, D.   +3 more
core  

Solving the migration-recombination equation from a genealogical point of view. [PDF]

open access: yesJ Math Biol, 2021
Alberti F   +3 more
europepmc   +1 more source

Sidorenko hypergraphs and random Turán numbers

open access: yes
Let \(\mathrm{ex}(G_{n,p}^r,F)\) denote the maximum number of edges in an \(F\)-free subgraph of the random \(r\)-uniform hypergraph \(G_{n,p}^r\), and let \[s(F):=\sup\{s: \exists H, t_F(H)=t_{K_r^r}(H)^{s+e(F)}›0\}.\] Following recent work of Conlon ...
Spiro, Sam, Nie, Jiaxi
core   +1 more source

Eigenvalues of random power law graphs

open access: yes, 2003
AMS Subject Classification: 05C80 Abstract. Many graphs arising in various information networks exhibit the “power law ” behavior — the number of vertices of degree k is proportional to k−β for some positive β.
Van Vu, Linyuan Lu, Fan Chung
core  

Ramsey-Type Results for Oriented Trees

open access: yes, 2007
. For a graph G and a digraph ~ H, we write G! ~ H (respectively, G a ! ~ H) if every orientation (respectively, acyclic orientation) of the edges of G results in an induced copy of ~ H. In this note we study how small the graphs G such that G!
Vojtech Rödl   +2 more
core  

Threshold functions for asymmetric Ramsey properties involving cycles

open access: yesRandom Struct. Algorithms, 1997
Y. Kohayakawa, Bernd Kreuter
semanticscholar   +1 more source

A Greedy Algorithm Estimating The Height Of Random Trees

open access: yes, 2007
. The behaviour of a greedy algorithm which estimates the height of a random labelled rooted tree is studied. A self-similarity argument is used to characterize the limit distribution of the length H of the path found by such an algorithm in a random ...
Tomasz Luczaky
core  

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