In a bipartite graph G=(U∪V,E) G = ( U ∪ V , E ) mathContainer Loading Mathjax where EU×V E U × V mathContainer Loading Mathjax , a semi-matching is defined as a set of edges ME M E mathContainer Loading Mathjax , such that each vertex in U is incident with exactly ...
We present below the picture of a well-blossoming tree (that is a well-blossoming map of the sphere) with the white root face (the root corner and its orientation is indicated by a red arrow) and the color of buds/leaves indicated by the color of their arrows (Fig. 1). We are ...
To multiply a number by itself. Prove that the number of edges in a bipartite graph with n vertices is at most \frac{n^2}{4}. Find the scale factor of the two spheres if g = 12 and h =10. How does one do transformations in geometry?...
The Existence of Universally Agreed Fairest Semi-matchings in Any Given Bipartite Graphdoi:10.1007/978-3-319-62389-4_44Jian XuSoumya BanerjeeWenjing RaoSpringer, ChamComputing and Combinatorics Conference
In a bipartite graph G=(U∪V,E) G = ( U ∪ V , E ) mathContainer Loading Mathjax where E⊆U×V E ⊆ U × V mathContainer Loading Mathjax , a semi-matching is defined as a set of edges M⊆E M ⊆ E mathContainer Loading Mathjax , such that each vertex in U ...
The existence of universally agreed fairest semi-matchings in any given bipartite graphdoi:10.1016/j.tcs.2018.03.020Jian XuSoumya BanerjeeWenjing RaoElsevier
Keevash and Sudakov showed that equality holds if H is the 4-cycle and n is large; recently Ma extended their result to an infinite family of bipartite graphs. We provide a larger family of bipartite graphs for which nim(n;H,H)=ex(n,H). For a general bipartite graph H, we show ...
In the same paper they also proved that the answer is ‘yes’ provided the graph is bipartite [11, Theorem 5.1]. Let us take a look at the ‘counterexample’ given in [11] and show that it is not a counterexample at all. To depict a configuration on a graph, we use a bullet for...