Posets, homomorphisms and homogeneity. - Peter J. Cameron; Deborah C. Lockett (Discret. Math., 2010)

Some more notions of homomorphism-homogeneity. - Deborah C. Lockett; John Kenneth Truss (Discret. Math., 2014)

Homogeneous coloured multipartite graphs. - Deborah C. Lockett; John Kenneth Truss (Eur. J. Comb., 2014)

Connected-Homomorphism-Homogeneous Graphs. - Deborah C. Lockett (J. Graph Theory, 2015)