Add to ORKGA famous conjecture of Sidorenko and Erdős-Simonovits states that if H is a bipartite graph then the random graph with edge density p has in expectation asymptotically the minimum number of copies of H over all graphs of the same order and edge density. The goal of this expository note is to give a short self-contained proof (suitable for teaching in class) of the conjecture if H has a vertex complete to all vertices in the other part
We study bipartite subgraphs of a random cubic graph in the thesis. We show, that an edge-maximum bi...
AbstractIt is well known that, of all graphs with edge-density p, the random graph G(n,p) contains t...
The KŁR conjecture of Kohayakawa, Łuczak, and Rödl is a statement that allows one to prove that asym...
A famous conjecture of Sidorenko and Erdős-Simonovits states that if H is a bipartite graph then the...
A beautiful conjecture of Erdős-Simonovits and Sidorenko states that, if H is a bipartite graph, the...
A celebrated conjecture of Sidorenko and Erdős-Simonovits states that, for all bipartite graphs H, q...
This thesis is primarily concerned with correlation inequalities between the number of homomorphic c...
A bipartite graph H is said to have Sidorenko’s property if the probability that the uniform random ...
A bipartite graph H is said to have Sidorenko’s property if the probability that the uniform random ...
Let $\mathrm{ex}(G_{n,p}^r,F)$ denote the maximum number of edges in an $F$-free subgraph of the ran...
Let hom(H, G) denote the number of homomorphisms from a graph H to a graph G. Sidorenko’s conjectur...
The Kohayakawa–Nagle–Rödl‐Schacht conjecture roughly states that every sufficiently large locally d‐...
Sidorenko's Conjecture asserts that every bipartite graph H has the Sidorenko property, i.e., a quas...
A graph $H$ is common if the limit as $n\to\infty$ of the minimum density of monochromatic labelled ...
Graph theory first arose in 1736 when Euler developed the basic concepts solving the Bridges of Koni...
We study bipartite subgraphs of a random cubic graph in the thesis. We show, that an edge-maximum bi...
AbstractIt is well known that, of all graphs with edge-density p, the random graph G(n,p) contains t...
The KŁR conjecture of Kohayakawa, Łuczak, and Rödl is a statement that allows one to prove that asym...
A famous conjecture of Sidorenko and Erdős-Simonovits states that if H is a bipartite graph then the...
A beautiful conjecture of Erdős-Simonovits and Sidorenko states that, if H is a bipartite graph, the...
A celebrated conjecture of Sidorenko and Erdős-Simonovits states that, for all bipartite graphs H, q...
This thesis is primarily concerned with correlation inequalities between the number of homomorphic c...
A bipartite graph H is said to have Sidorenko’s property if the probability that the uniform random ...
A bipartite graph H is said to have Sidorenko’s property if the probability that the uniform random ...
Let $\mathrm{ex}(G_{n,p}^r,F)$ denote the maximum number of edges in an $F$-free subgraph of the ran...
Let hom(H, G) denote the number of homomorphisms from a graph H to a graph G. Sidorenko’s conjectur...
The Kohayakawa–Nagle–Rödl‐Schacht conjecture roughly states that every sufficiently large locally d‐...
Sidorenko's Conjecture asserts that every bipartite graph H has the Sidorenko property, i.e., a quas...
A graph $H$ is common if the limit as $n\to\infty$ of the minimum density of monochromatic labelled ...
Graph theory first arose in 1736 when Euler developed the basic concepts solving the Bridges of Koni...
We study bipartite subgraphs of a random cubic graph in the thesis. We show, that an edge-maximum bi...
AbstractIt is well known that, of all graphs with edge-density p, the random graph G(n,p) contains t...
The KŁR conjecture of Kohayakawa, Łuczak, and Rödl is a statement that allows one to prove that asym...