3 citations · 5 across the 5 of their papers we have counts for
5 papers
Two short proofs of the Perfect Forest Theorem
Yair Caro, Josef Lauri, Christina Zarb
A perfect forest is a spanning forest of a connected graph , all of whose components are induced subgraphs of and such that all vertices have odd degree in the forest. A per…
Degree Monotone Paths and Graph Operations
Yair Caro, Josef Lauri, Christina Zarb
A path in a graph is said to be a degree monotone path if the sequence of degrees of the vertices of in the order in which they appear on is monotonic. The length o…
Hamiltonicity and -hypergraphs
Christina Zarb
We define and study a special type of hypergraph. A -hypergraph ), where is a partition of , is an -uniform hypergraph having vertices part…
Degree Monotone Paths
Yair Caro, Josef Lauri, Christina Zarb
We shall study degree-monotone paths in graphs, a problem inspired by the celebrated theorem of Erd{ő}s-Szekeres concerning the longest monotone subsequence of a given sequence of…
Independence and Matchings in -hypergraphs
Yair Caro, Josef Lauri, Christina Zarb
Let be a partition of the positive integer . A -hypergraph is an -uniform hypergraph on vertices which are partitioned into classes $V_1, V_2,…