The size Ramsey number was introduced by Erds, Faudree, Rousseau, and Schelp in 1978 and they ended their foundational paper by asking whether one can determine up to a constant factor the size Ramsey numbers of
The principal Chebotarev density theorem 50:59 Understanding form and function in vascular tumours 54:28 A construction of Bowen-Margulis measure (Main talk) 55:52 A construction of Bowen-Margulis measure (Pre-Talk) 27:44 The question of q, a look at the interplay of number theory an...
This definition is the generalization of the domination game played on graphs and it is a special case of the transversal game on hypergraphs. After some basic general results, we establish an asymptotically tight upper bound on the game domination number of k-uniform hypergraphs. In the ...
Walikar, Bounds on the size of a graph having unique minimum dominating set, manuscript, undated. Google Scholar Acharya and Walikar B.D. Acharya and H.B. Walikar, Indominable graphs cannot be characterized by a finite family of forbidden subgraphs, manuscript, undated. Google Scholar ...
(MALTA)_ ISOLATION OF GRAPHS 1:04:30 Equidistribution of some families of short exponential sums 51:34 Local to global principle for higher moments of the natural density 53:01 The size function for imaginary cyclic sextic fields 45:23 Mean values of long Dirichlet polynomials 54:49 NIKA ...
Base map created using the GEBCO21 grid99. Full size image Laili is a large rockshelter (~15 × 15 m) in a prominent formation of Carboniferous crinoid limestone boulders overlooking the lower Laleia river and its floodplain on the north coast of Timor (Fig. 1, Supplementary Fig. ...
Understanding pre-1850s fire history and its effect on forest structure can provide insights useful for fire managers in developing plans to moderate fire hazards in the face of forecasted climate change. While climate clearly plays a substantial role in
Anatomically modern humans reached East Asia more than 40,000 years ago. However, key questions still remain unanswered with regard to the route(s) and the number of wave(s) in the dispersal into East Eurasia. Ancient genomes at the edge of the regi
Finally, we show that the above problem is connected to the Erdős–Gyárfás function in Ramsey Theory, and prove a family of special cases of a conjecture of Conlon, Fox, Lee and Sudakov by showing that for each fixed r the complete r-uniform hypergraph Kn(r) can be edge-coloured us...
Download: Download full-size image Fig. 1. The subdivison of the plane. Let B̄ be the union of those sub-boards meeting B. We show that Picker wins the Chooser–Picker 8-in-a-row game for the board B̄. Note that B̄ is a union of sub-boards. Picker plays auxiliary games...